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22513210900 = 2252225132109
BaseRepresentation
bin10100111101111001…
…000101011000010100
32011002222120121110221
4110331321011120110
5332101340222100
614201544124124
71424620064245
oct247571053024
964088517427
1022513210900
119603136624
124443766644
13217a28128b
141137db4ccc
158bb70601a
hex53de45614

22513210900 has 18 divisors (see below), whose sum is σ = 48853667870. Its totient is φ = 9005284320.

The previous prime is 22513210843. The next prime is 22513210927. The reversal of 22513210900 is 901231522.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5173061776 + 17340149124 = 71924^2 + 131682^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 112565955 + ... + 112566154.

Almost surely, 222513210900 is an apocalyptic number.

22513210900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22513210900 is an abundant number, since it is smaller than the sum of its proper divisors (26340456970).

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

22513210900 is a wasteful number, since it uses less digits than its factorization.

22513210900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225132123 (or 225132116 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 22513210900 in words is "twenty-two billion, five hundred thirteen million, two hundred ten thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 225132109 450264218 900528436 1125660545 2251321090 4502642180 5628302725 11256605450 22513210900