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22638468 = 2234373601
BaseRepresentation
bin101011001011…
…0111110000100
31120121011010210
41112112332010
521243412333
62125115420
7363265236
oct126267604
946534123
1022638468
1111862686
1276b8b70
1348c8358
143014256
151ec2a63
hex1596f84

22638468 has 48 divisors (see below), whose sum is σ = 54883136. Its totient is φ = 7257600.

The previous prime is 22638461. The next prime is 22638479. The reversal of 22638468 is 86483622.

It is not an unprimeable number, because it can be changed into a prime (22638461) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37368 + ... + 37968.

Almost surely, 222638468 is an apocalyptic number.

It is an amenable number.

22638468 is an abundant number, since it is smaller than the sum of its proper divisors (32244668).

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

22638468 is a wasteful number, since it uses less digits than its factorization.

22638468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 722 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 22638468 is about 4757.9899117169. The cubic root of 22638468 is about 282.8887508223. Note that the first 3 decimals are identical.

It can be divided in two parts, 2263 and 8468, that added together give a triangular number (10731 = T146).

The spelling of 22638468 in words is "twenty-two million, six hundred thirty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 43 73 86 129 146 172 219 258 292 438 516 601 876 1202 1803 2404 3139 3606 6278 7212 9417 12556 18834 25843 37668 43873 51686 77529 87746 103372 131619 155058 175492 263238 310116 526476 1886539 3773078 5659617 7546156 11319234 22638468