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22010440340 = 2257322914011
BaseRepresentation
bin10100011111111011…
…001010101010010100
32002210221112012221002
4110133323022222110
5330034133042330
614040024042432
71406303441000
oct243773125224
962727465832
1022010440340
119375357669
124323303418
1320ca0690c5
1410cb2db700
1588c4e1e45
hex51fecaa94

22010440340 has 96 divisors (see below), whose sum is σ = 54142368000. Its totient is φ = 7512946560.

The previous prime is 22010440303. The next prime is 22010440343. The reversal of 22010440340 is 4304401022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010440343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1563935 + ... + 1577945.

It is an arithmetic number, because the mean of its divisors is an integer number (563983000).

Almost surely, 222010440340 is an apocalyptic number.

22010440340 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 22010440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27071184000).

22010440340 is an abundant number, since it is smaller than the sum of its proper divisors (32131927660).

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

22010440340 is a wasteful number, since it uses less digits than its factorization.

22010440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14270 (or 14254 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22010440340 its reverse (4304401022), we get a palindrome (26314841362).

The spelling of 22010440340 in words is "twenty-two billion, ten million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 229 245 343 458 490 686 916 980 1145 1372 1603 1715 2290 3206 3430 4580 6412 6860 8015 11221 14011 16030 22442 28022 32060 44884 56044 56105 70055 78547 98077 112210 140110 157094 196154 224420 280220 314188 392308 392735 490385 686539 785470 980770 1373078 1570940 1961540 2746156 3208519 3432695 4805773 6417038 6865390 9611546 12834076 13730780 16042595 19223092 22459633 24028865 32085190 44919266 48057730 64170380 89838532 96115460 112298165 157217431 224596330 314434862 449192660 628869724 786087155 1100522017 1572174310 2201044034 3144348620 4402088068 5502610085 11005220170 22010440340