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22500468 = 2232718803
BaseRepresentation
bin101010111010…
…1010001110100
31120100010211200
41111311101310
521230003333
62122132500
7362152014
oct125652164
946303750
1022500468
1111778a31
127651130
13487a5b3
142db9c44
151e96c13
hex1575474

22500468 has 36 divisors (see below), whose sum is σ = 57683808. Its totient is φ = 7393680.

The previous prime is 22500449. The next prime is 22500493. The reversal of 22500468 is 86400522.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 1846 + ... + 6957.

It is an arithmetic number, because the mean of its divisors is an integer number (1602328).

Almost surely, 222500468 is an apocalyptic number.

It is an amenable number.

22500468 is an abundant number, since it is smaller than the sum of its proper divisors (35183340).

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

22500468 is a wasteful number, since it uses less digits than its factorization.

22500468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8884 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22500468 is about 4743.4658215275. The cubic root of 22500468 is about 282.3127660057.

The spelling of 22500468 in words is "twenty-two million, five hundred thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 8803 17606 26409 35212 52818 79227 105636 158454 316908 625013 1250026 1875039 2500052 3750078 5625117 7500156 11250234 22500468