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22235072900 = 22522342122963
BaseRepresentation
bin10100101101010100…
…000100100110000100
32010101121012201212112
4110231110010212010
5331014134313100
614114210440152
71415002000265
oct245524044604
963347181775
1022235072900
119480134407
124386593058
132134769291
14110d09296c
158a20b4b35
hex52d504984

22235072900 has 72 divisors (see below), whose sum is σ = 50469728064. Its totient is φ = 8486755200.

The previous prime is 22235072887. The next prime is 22235072963. The reversal of 22235072900 is 927053222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956819 + ... + 979781.

Almost surely, 222235072900 is an apocalyptic number.

22235072900 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 22235072900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25234864032).

22235072900 is an abundant number, since it is smaller than the sum of its proper divisors (28234655164).

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

22235072900 is a wasteful number, since it uses less digits than its factorization.

22235072900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23421 (or 23414 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 22235072900 in words is "twenty-two billion, two hundred thirty-five million, seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 421 460 575 842 1150 1684 2105 2300 4210 8420 9683 10525 19366 21050 22963 38732 42100 45926 48415 91852 96830 114815 193660 229630 242075 459260 484150 528149 574075 968300 1056298 1148150 2112596 2296300 2640745 5281490 9667423 10562980 13203725 19334846 26407450 38669692 48337115 52814900 96674230 193348460 222350729 241685575 444701458 483371150 889402916 966742300 1111753645 2223507290 4447014580 5558768225 11117536450 22235072900