Search a number
-
+
231402912 = 25313217839
BaseRepresentation
bin11011100101011…
…10110110100000
3121010102111010020
431302232312200
5433214343122
634543433440
75506615026
oct1562566640
9533374106
10231402912
11109691484
12655b5880
1338c30a00
1422a38716
15154adc5c
hexdcaeda0

231402912 has 144 divisors (see below), whose sum is σ = 697273920. Its totient is φ = 66932736.

The previous prime is 231402887. The next prime is 231402959. The reversal of 231402912 is 219204132.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275389 + ... + 276227.

It is an arithmetic number, because the mean of its divisors is an integer number (4842180).

Almost surely, 2231402912 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 231402912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348636960).

231402912 is an abundant number, since it is smaller than the sum of its proper divisors (465871008).

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

231402912 is a wasteful number, since it uses less digits than its factorization.

231402912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 231402912 is about 15211.9332104766. The cubic root of 231402912 is about 613.9357733255.

The spelling of 231402912 in words is "two hundred thirty-one million, four hundred two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 169 204 208 221 272 312 338 408 416 442 507 544 624 663 676 816 839 884 1014 1248 1326 1352 1632 1678 1768 2028 2517 2652 2704 2873 3356 3536 4056 5034 5304 5408 5746 6712 7072 8112 8619 10068 10608 10907 11492 13424 14263 16224 17238 20136 21216 21814 22984 26848 28526 32721 34476 40272 42789 43628 45968 57052 65442 68952 80544 85578 87256 91936 114104 130884 137904 141791 171156 174512 185419 228208 261768 275808 283582 342312 349024 370838 425373 456416 523536 556257 567164 684624 741676 850746 1047072 1112514 1134328 1369248 1483352 1701492 2225028 2268656 2410447 2966704 3402984 4450056 4537312 4820894 5933408 6805968 7231341 8900112 9641788 13611936 14462682 17800224 19283576 28925364 38567152 57850728 77134304 115701456 231402912