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232013824 = 21472172
BaseRepresentation
bin11011101010001…
…00000000000000
3121011120112010121
431311010000000
5433343420244
635004510024
75515041100
oct1565040000
9534515117
10232013824
11109a69469
126584b314
13390b5ab3
1422b57200
151557ec84
hexdd44000

232013824 has 135 divisors (see below), whose sum is σ = 573389733. Its totient is φ = 93585408.

The previous prime is 232013819. The next prime is 232013843. The reversal of 232013824 is 428310232.

The square root of 232013824 is 15232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 180633600 + 51380224 = 13440^2 + 7168^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13647864 + ... + 13647880.

Almost surely, 2232013824 is an apocalyptic number.

232013824 is the 15232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232013824

232013824 is an abundant number, since it is smaller than the sum of its proper divisors (341375909).

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

232013824 is an frugal number, since it uses more digits than its factorization.

232013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 232013824 is about 614.4755694085.

Multiplying 232013824 by its sum of digits (25), we get a square (5800345600 = 761602).

Multiplying 232013824 by its product of nonzero digits (2304), we get a square (534559850496 = 7311362).

The spelling of 232013824 in words is "two hundred thirty-two million, thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 289 392 448 476 512 544 578 784 833 896 952 1024 1088 1156 1568 1666 1792 1904 2023 2048 2176 2312 3136 3332 3584 3808 4046 4096 4352 4624 6272 6664 7168 7616 8092 8192 8704 9248 12544 13328 14161 14336 15232 16184 16384 17408 18496 25088 26656 28322 28672 30464 32368 34816 36992 50176 53312 56644 57344 60928 64736 69632 73984 100352 106624 113288 114688 121856 129472 139264 147968 200704 213248 226576 243712 258944 278528 295936 401408 426496 453152 487424 517888 591872 802816 852992 906304 974848 1035776 1183744 1705984 1812608 1949696 2071552 2367488 3411968 3625216 4143104 4734976 6823936 7250432 8286208 13647872 14500864 16572416 29001728 33144832 58003456 116006912 232013824