Search a number
-
+
232869768 = 233293143251
BaseRepresentation
bin11011110000101…
…00111110001000
3121020012000021020
431320110332020
5434103313033
635035112440
75525234415
oct1570247610
9536160236
10232869768
1110a4a355a
1265ba2720
1339325581
1422cdb10c
151569d6b3
hexde14f88

232869768 has 128 divisors (see below), whose sum is σ = 638668800. Its totient is φ = 70560000.

The previous prime is 232869761. The next prime is 232869773. The reversal of 232869768 is 867968232.

232869768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 232869768.

It is not an unprimeable number, because it can be changed into a prime (232869761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927643 + ... + 927893.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2232869768 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 232869768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319334400).

232869768 is an abundant number, since it is smaller than the sum of its proper divisors (405799032).

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

232869768 is a wasteful number, since it uses less digits than its factorization.

232869768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 232869768 is about 15260.0710352213. The cubic root of 232869768 is about 615.2302819291.

The spelling of 232869768 in words is "two hundred thirty-two million, eight hundred sixty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 31 43 58 62 86 87 93 116 124 129 172 174 186 232 248 251 258 344 348 372 502 516 696 744 753 899 1004 1032 1247 1333 1506 1798 2008 2494 2666 2697 3012 3596 3741 3999 4988 5332 5394 6024 7192 7279 7482 7781 7998 9976 10664 10788 10793 14558 14964 15562 15996 21576 21586 21837 23343 29116 29928 31124 31992 32379 38657 43172 43674 46686 58232 62248 64758 77314 86344 87348 93372 115971 129516 154628 174696 186744 225649 231942 259032 309256 312997 334583 451298 463884 625994 669166 676947 902596 927768 938991 1003749 1251988 1338332 1353894 1805192 1877982 2007498 2503976 2676664 2707788 3755964 4014996 5415576 7511928 8029992 9702907 19405814 29108721 38811628 58217442 77623256 116434884 232869768