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22220000100220 = 22513277449687139
BaseRepresentation
bin1010000110101011111110…
…01101100111111101111100
32220200012201000022101211211
411003111333031213331330
510403023030011201340
6115131421020454204
74452225213356026
oct503257715477574
986605630271754
1022220000100220
1170974a386736a
1225aa4750aa364
13c5244c5786b0
1456b64d0dd016
15287ed70735ea
hex14357f367f7c

22220000100220 has 96 divisors (see below), whose sum is σ = 50545193832000. Its totient is φ = 8156470984704.

The previous prime is 22220000100143. The next prime is 22220000100229. The reversal of 22220000100220 is 2200100002222.

It is a super-3 number, since 3×222200001002203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 22220000100220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220000100229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31993411 + ... + 32680549.

It is an arithmetic number, because the mean of its divisors is an integer number (526512435750).

Almost surely, 222220000100220 is an apocalyptic number.

22220000100220 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 22220000100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25272596916000).

22220000100220 is an abundant number, since it is smaller than the sum of its proper divisors (28325193731780).

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

22220000100220 is a wasteful number, since it uses less digits than its factorization.

22220000100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687887 (or 687885 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22220000100220 its reverse (2200100002222), we get a palindrome (24420100102442).

The spelling of 22220000100220 in words is "twenty-two trillion, two hundred twenty billion, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 277 449 554 898 1108 1385 1796 2245 2770 3601 4490 5540 5837 7202 8980 11674 14404 18005 23348 29185 36010 58370 72020 116740 124373 248746 497492 621865 687139 1243730 1374278 1616849 2487460 2748556 3233698 3435695 6467396 6871390 8084245 8932807 13742780 16168490 17865614 32336980 35731228 44664035 89328070 178656140 190337503 308525411 380675006 617050822 761350012 951687515 1234101644 1542627055 1903375030 2474387539 3085254110 3806750060 4010830343 4948775078 6170508220 8021660686 9897550156 12371937695 16043321372 20054151715 24743875390 40108303430 49487750780 80216606860 85461538847 170923077694 341846155388 427307694235 854615388470 1111000005011 1709230776940 2222000010022 4444000020044 5555000025055 11110000050110 22220000100220