Search a number
-
+
232700364 = 223413101547
BaseRepresentation
bin11011101111010…
…11100111001100
3121012212101220000
431313223213030
5434032402424
635031324300
75523630501
oct1567534714
9535771800
10232700364
1110a398256
1265b20690
1339296430
1422c954a8
15156683c9
hexddeb9cc

232700364 has 120 divisors (see below), whose sum is σ = 662814768. Its totient is φ = 70761600.

The previous prime is 232700357. The next prime is 232700371. The reversal of 232700364 is 463007232.

232700364 is a `hidden beast` number, since 232 + 70 + 0 + 364 = 666.

232700364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232700357) and next prime (232700371).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 425139 + ... + 425685.

Almost surely, 2232700364 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 232700364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331407384).

232700364 is an abundant number, since it is smaller than the sum of its proper divisors (430114404).

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

232700364 is a wasteful number, since it uses less digits than its factorization.

232700364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 232700364 is about 15254.5194614580. The cubic root of 232700364 is about 615.0810601066.

Adding to 232700364 its reverse (463007232), we get a palindrome (695707596).

The spelling of 232700364 in words is "two hundred thirty-two million, seven hundred thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 101 108 117 156 162 202 234 303 324 351 404 468 547 606 702 909 1053 1094 1212 1313 1404 1641 1818 2106 2188 2626 2727 3282 3636 3939 4212 4923 5252 5454 6564 7111 7878 8181 9846 10908 11817 14222 14769 15756 16362 19692 21333 23634 28444 29538 32724 35451 42666 44307 47268 55247 59076 63999 70902 85332 88614 106353 110494 127998 141804 165741 177228 191997 212706 220988 255996 331482 383994 425412 497223 575991 662964 718211 767988 994446 1151982 1436422 1491669 1988892 2154633 2303964 2872844 2983338 4309266 4475007 5966676 6463899 8618532 8950014 12927798 17900028 19391697 25855596 38783394 58175091 77566788 116350182 232700364