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23014632 = 2332943769
BaseRepresentation
bin101011111001…
…0110011101000
31121022021010210
41113302303220
521342432012
62141141120
7366423024
oct127626350
947267123
1023014632
1111a9a263
12785a7a0
1349ca634
1430b1384
15204923c
hex15f2ce8

23014632 has 64 divisors (see below), whose sum is σ = 60984000. Its totient is φ = 7225344.

The previous prime is 23014627. The next prime is 23014633. The reversal of 23014632 is 23641032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23014599 and 23014608.

It is not an unprimeable number, because it can be changed into a prime (23014633) 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, 29544 + ... + 30312.

It is an arithmetic number, because the mean of its divisors is an integer number (952875).

Almost surely, 223014632 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 23014632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30492000).

23014632 is an abundant number, since it is smaller than the sum of its proper divisors (37969368).

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

23014632 is a wasteful number, since it uses less digits than its factorization.

23014632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 23014632 is about 4797.3567722236. The cubic root of 23014632 is about 284.4469916674.

Adding to 23014632 its reverse (23641032), we get a palindrome (46655664).

The spelling of 23014632 in words is "twenty-three million, fourteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 516 696 769 1032 1247 1538 2307 2494 3076 3741 4614 4988 6152 7482 9228 9976 14964 18456 22301 29928 33067 44602 66134 66903 89204 99201 132268 133806 178408 198402 264536 267612 396804 535224 793608 958943 1917886 2876829 3835772 5753658 7671544 11507316 23014632