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22364954900 = 2252223649549
BaseRepresentation
bin10100110101000011…
…100010000100010100
32010201122121102110222
4110311003202010110
5331300412024100
614135130333512
71421136660101
oct246503420424
963648542428
1022364954900
119537485702
124401b8a298
132155643132
141122421aa8
158ad6bd485
hex5350e2114

22364954900 has 18 divisors (see below), whose sum is σ = 48531952350. Its totient is φ = 8945981920.

The previous prime is 22364954881. The next prime is 22364954959. The reversal of 22364954900 is 945946322.

It can be written as a sum of positive squares in 3 ways, for example, as 6005010064 + 16359944836 = 77492^2 + 127906^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 111824675 + ... + 111824874.

It is an arithmetic number, because the mean of its divisors is an integer number (2696219575).

Almost surely, 222364954900 is an apocalyptic number.

22364954900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22364954900 is an abundant number, since it is smaller than the sum of its proper divisors (26166997450).

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

22364954900 is a wasteful number, since it uses less digits than its factorization.

22364954900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223649563 (or 223649556 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 22364954900 in words is "twenty-two billion, three hundred sixty-four million, nine hundred fifty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 223649549 447299098 894598196 1118247745 2236495490 4472990980 5591238725 11182477450 22364954900