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23132448 = 2532312591
BaseRepresentation
bin101100000111…
…1100100100000
31121112020202100
41120033210200
521410214243
62143450400
7400423353
oct130174440
947466670
1023132448
111206a829
1278b6a00
134a3c151
14310229a
15206e0d3
hex160f920

23132448 has 72 divisors (see below), whose sum is σ = 67931136. Its totient is φ = 7459200.

The previous prime is 23132423. The next prime is 23132449. The reversal of 23132448 is 84423132.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×231324482 = 1070220300945408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23132449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7633 + ... + 10223.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 223132448 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 23132448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33965568).

23132448 is an abundant number, since it is smaller than the sum of its proper divisors (44798688).

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

23132448 is a wasteful number, since it uses less digits than its factorization.

23132448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2627 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 23132448 is about 4809.6203592383. The cubic root of 23132448 is about 284.9315440386.

It can be divided in two parts, 2313 and 2448, that added together give a square (4761 = 692).

The spelling of 23132448 in words is "twenty-three million, one hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2591 2976 4464 5182 7773 8928 10364 15546 20728 23319 31092 41456 46638 62184 80321 82912 93276 124368 160642 186552 240963 248736 321284 373104 481926 642568 722889 746208 963852 1285136 1445778 1927704 2570272 2891556 3855408 5783112 7710816 11566224 23132448