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22997904 = 24319151167
BaseRepresentation
bin101011110111…
…0101110010000
31121021102012020
41113232232100
521341413104
62140531440
7366323166
oct127565620
947242166
1022997904
1111a88736
127850b80
1349c2b37
1430a9236
1520442d9
hex15eeb90

22997904 has 80 divisors (see below), whose sum is σ = 63329280. Its totient is φ = 7171200.

The previous prime is 22997903. The next prime is 22997911. The reversal of 22997904 is 40979922.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22997903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137629 + ... + 137795.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 222997904 is an apocalyptic number.

22997904 is a gapful number since it is divisible by the number (24) 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 22997904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31664640).

22997904 is an abundant number, since it is smaller than the sum of its proper divisors (40331376).

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

22997904 is a wasteful number, since it uses less digits than its factorization.

22997904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 22997904 is about 4795.6129952280. The cubic root of 22997904 is about 284.3780589616.

The spelling of 22997904 in words is "twenty-two million, nine hundred ninety-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 151 152 167 228 302 304 334 453 456 501 604 668 906 912 1002 1208 1336 1812 2004 2416 2672 2869 3173 3624 4008 5738 6346 7248 8016 8607 9519 11476 12692 17214 19038 22952 25217 25384 34428 38076 45904 50434 50768 68856 75651 76152 100868 137712 151302 152304 201736 302604 403472 479123 605208 958246 1210416 1437369 1916492 2874738 3832984 5749476 7665968 11498952 22997904