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22063403453140 = 22572411015436773
BaseRepresentation
bin1010000010001000010010…
…10100110100101011010100
32220010020111112002111101001
411001010021110310223110
510342441322241000030
6114531442043113044
74435012464003400
oct501041124645324
986106445074331
1022063403453140
11703704506a675
122584051212784
13c40754439a8a
14563c355ca100
15283dbe2a1cca
hex141109534ad4

22063403453140 has 144 divisors (see below), whose sum is σ = 55758988719504. Its totient is φ = 7307021568000.

The previous prime is 22063403453101. The next prime is 22063403453149. The reversal of 22063403453140 is 4135430436022.

It can be written as a sum of positive squares in 8 ways, for example, as 1432440347716 + 20630963105424 = 1196846^2 + 4542132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22063403453140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22063403453149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1339794 + ... + 6776566.

It is an arithmetic number, because the mean of its divisors is an integer number (387215199441).

Almost surely, 222063403453140 is an apocalyptic number.

22063403453140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22063403453140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27879494359752).

22063403453140 is an abundant number, since it is smaller than the sum of its proper divisors (33695585266364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22063403453140 is a wasteful number, since it uses less digits than its factorization.

22063403453140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436938 (or 5436929 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 22063403453140 its reverse (4135430436022), we get a palindrome (26198833889162).

The spelling of 22063403453140 in words is "twenty-two trillion, sixty-three billion, four hundred three million, four hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 101 140 164 196 202 205 245 287 404 410 490 505 574 707 820 980 1010 1148 1414 1435 2009 2020 2828 2870 3535 4018 4141 4949 5740 7070 8036 8282 9898 10045 14140 16564 19796 20090 20705 24745 28987 40180 41410 49490 57974 82820 98980 115948 144935 202909 289870 405818 579740 811636 1014545 2029090 4058180 5436773 10873546 21747092 27183865 38057411 54367730 76114822 108735460 152229644 190287055 222907693 266401877 380574110 445815386 532803754 549114073 761148220 891630772 1065607508 1098228146 1114538465 1332009385 1560353851 2196456292 2229076930 2664018770 2745570365 3120707702 3843798511 4458153860 5328037540 5491140730 6241415404 7687597022 7801769255 10922476957 10982281460 15375194044 15603538510 19218992555 21844953914 22513676993 26906589577 31207077020 38437985110 43689907828 45027353986 53813179154 54612384785 76875970220 90054707972 107626358308 109224769570 112568384965 134532947885 157595738951 218449539140 225136769930 269065895770 315191477902 450273539860 538131791540 630382955804 787978694755 1103170172657 1575957389510 2206340345314 3151914779020 4412680690628 5515850863285 11031701726570 22063403453140