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22502625740 = 22572106321601
BaseRepresentation
bin10100111101010000…
…101101000111001100
32011002020122211100222
4110331100231013030
5332041133010430
614200525210512
71424431106600
oct247520550714
964066584328
1022502625740
1195a8166861
124440100a38
13217801627a
14113681b500
158ba8149e5
hex53d42d1cc

22502625740 has 72 divisors (see below), whose sum is σ = 55024960032. Its totient is φ = 7707571200.

The previous prime is 22502625727. The next prime is 22502625751. The reversal of 22502625740 is 4752620522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 22502625740.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1030940 + ... + 1052540.

It is an arithmetic number, because the mean of its divisors is an integer number (764235556).

Almost surely, 222502625740 is an apocalyptic number.

22502625740 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 22502625740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27512480016).

22502625740 is an abundant number, since it is smaller than the sum of its proper divisors (32522334292).

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

22502625740 is a wasteful number, since it uses less digits than its factorization.

22502625740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22687 (or 22678 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 22502625740 in words is "twenty-two billion, five hundred two million, six hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1063 2126 4252 5315 7441 10630 14882 21260 21601 29764 37205 43202 52087 74410 86404 104174 108005 148820 151207 208348 216010 260435 302414 432020 520870 604828 756035 1041740 1058449 1512070 2116898 3024140 4233796 5292245 10584490 21168980 22961863 45923726 91847452 114809315 160733041 229618630 321466082 459237260 642932164 803665205 1125131287 1607330410 2250262574 3214660820 4500525148 5625656435 11251312870 22502625740