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22257417028 = 22711213133911
BaseRepresentation
bin10100101110101001…
…010011101101000100
32010110011020221020211
4110232221103231010
5331040344321103
614120325405204
71415362631440
oct245651235504
963404227224
1022257417028
119491805930
124391b69804
132139290662
14111202b820
158a402a36d
hex52ea53b44

22257417028 has 48 divisors (see below), whose sum is σ = 48585858048. Its totient is φ = 8667396000.

The previous prime is 22257417011. The next prime is 22257417041. The reversal of 22257417028 is 82071475222.

It is a super-2 number, since 2×222574170282 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 639393 + ... + 673303.

It is an arithmetic number, because the mean of its divisors is an integer number (1012205376).

Almost surely, 222257417028 is an apocalyptic number.

22257417028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22257417028 is an abundant number, since it is smaller than the sum of its proper divisors (26328441020).

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

22257417028 is a wasteful number, since it uses less digits than its factorization.

22257417028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36064 (or 36062 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 22257417028 in words is "twenty-two billion, two hundred fifty-seven million, four hundred seventeen thousand, twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 2131 4262 8524 14917 23441 29834 33911 46882 59668 67822 93764 135644 164087 237377 328174 373021 474754 656348 746042 949508 1492084 2611147 5222294 10444588 72264341 144528682 289057364 505850387 794907751 1011700774 1589815502 2023401548 3179631004 5564354257 11128708514 22257417028