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23149056 = 29372153
BaseRepresentation
bin101100001001…
…1101000000000
31121120002112110
41120103220000
521411232211
62144055320
7400522650
oct130235000
947502473
1023149056
1112081257
127904540
134a46888
143108360
152073ea6
hex1613a00

23149056 has 80 divisors (see below), whose sum is σ = 70513344. Its totient is φ = 6610944.

The previous prime is 23149037. The next prime is 23149069. The reversal of 23149056 is 65094132.

It is a super-2 number, since 2×231490562 = 1071757587382272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9676 + ... + 11828.

Almost surely, 223149056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35256672).

23149056 is an abundant number, since it is smaller than the sum of its proper divisors (47364288).

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

23149056 is an equidigital number, since it uses as much as digits as its factorization.

23149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 23149056 is about 4811.3465890538. The cubic root of 23149056 is about 284.9997168357. Note that the first 3 decimals are identical.

The spelling of 23149056 in words is "twenty-three million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2153 2688 3584 4306 5376 6459 8612 10752 12918 15071 17224 25836 30142 34448 45213 51672 60284 68896 90426 103344 120568 137792 180852 206688 241136 275584 361704 413376 482272 551168 723408 826752 964544 1102336 1446816 1653504 1929088 2893632 3307008 3858176 5787264 7716352 11574528 23149056