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23157312 = 263294159
BaseRepresentation
bin101100001010…
…1101001000000
31121120111212020
41120111221000
521412013222
62144201440
7400556013
oct130255100
947514766
1023157312
1112087482
127909280
134a4a569
14310b37a
15207665c
hex1615a40

23157312 has 56 divisors (see below), whose sum is σ = 63398400. Its totient is φ = 7451136.

The previous prime is 23157311. The next prime is 23157313. The reversal of 23157312 is 21375132.

It is an interprime number because it is at equal distance from previous prime (23157311) and next prime (23157313).

It is a super-2 number, since 2×231573122 = 1072522198130688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23157311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3489 + ... + 7647.

Almost surely, 223157312 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 23157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31699200).

23157312 is an abundant number, since it is smaller than the sum of its proper divisors (40241088).

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

23157312 is a wasteful number, since it uses less digits than its factorization.

23157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4193 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 23157312 is about 4812.2044844333. The cubic root of 23157312 is about 285.0335940701.

The spelling of 23157312 in words is "twenty-three million, one hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 4159 5568 8318 12477 16636 24954 33272 49908 66544 99816 120611 133088 199632 241222 266176 361833 399264 482444 723666 798528 964888 1447332 1929776 2894664 3859552 5789328 7719104 11578656 23157312