Search a number
-
+
232300320323310 = 23352380793613807
BaseRepresentation
bin110100110100011010100010…
…000100101111011011101110
31010110111200201201211210202000
4310310122202010233123232
5220422002024000321220
62142021143252313130
766634100331110601
oct6464324204573356
91113450651753660
10232300320323310
1168022015847098
12220794373127a6
139c80a982564c5
144151577346338
151bcc9e76ca390
hexd346a212f6ee

232300320323310 has 64 divisors (see below), whose sum is σ = 619470294220800. Its totient is φ = 61946474750496.

The previous prime is 232300320323257. The next prime is 232300320323363. The reversal of 232300320323310 is 13323023003232.

232300320323310 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 0 + 0 + 3 + 20 + 323 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (232300320323257) and next prime (232300320323363).

It is a super-2 number, since 2×2323003203233102 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62474427 + ... + 66088233.

It is an arithmetic number, because the mean of its divisors is an integer number (9679223347200).

Almost surely, 2232300320323310 is an apocalyptic number.

232300320323310 is an abundant number, since it is smaller than the sum of its proper divisors (387169973897490).

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

232300320323310 is a wasteful number, since it uses less digits than its factorization.

232300320323310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851902 (or 3851896 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 232300320323310 its reverse (13323023003232), we get a palindrome (245623343326542).

The spelling of 232300320323310 in words is "two hundred thirty-two trillion, three hundred billion, three hundred twenty million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 238079 476158 714237 1190395 1428474 2142711 2380790 3571185 3613807 4285422 6428133 7142370 7227614 10713555 10841421 12856266 18069035 21427110 21682842 32140665 32524263 36138070 54207105 64281330 65048526 97572789 108414210 162621315 195145578 325242630 487863945 975727890 860371556753 1720743113506 2581114670259 4301857783765 5162229340518 7743344010777 8603715567530 12905573351295 15486688021554 23230032032331 25811146702590 38716720053885 46460064064662 77433440107770 116150160161655 232300320323310