Search a number
-
+
232305132553332 = 223372393218641771
BaseRepresentation
bin110100110100011111000000…
…111001111100010001110100
31010110112011011002220102022120
4310310133000321330101310
5220422041402413201312
62142023300555155540
766634330513305666
oct6464370071742164
91113464132812276
10232305132553332
11680240651647a3
122207a35aa45bb0
139c813842206a7
1441518b24ca536
151bccbc9de128c
hexd347c0e7c474

232305132553332 has 48 divisors (see below), whose sum is σ = 556927819906752. Its totient is φ = 75310720392960.

The previous prime is 232305132553303. The next prime is 232305132553363. The reversal of 232305132553332 is 233355231503232.

232305132553332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2323051325533322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108258394 + ... + 110383377.

It is an arithmetic number, because the mean of its divisors is an integer number (11602662914724).

Almost surely, 2232305132553332 is an apocalyptic number.

It is an amenable number.

232305132553332 is an abundant number, since it is smaller than the sum of its proper divisors (324622687353420).

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

232305132553332 is a wasteful number, since it uses less digits than its factorization.

232305132553332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218644208 (or 218644206 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 42.

The spelling of 232305132553332 in words is "two hundred thirty-two trillion, three hundred five billion, one hundred thirty-two million, five hundred fifty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 2393 4786 7179 9572 14358 28716 88541 177082 265623 354164 531246 1062492 218641771 437283542 655925313 874567084 1311850626 2623701252 8089745527 16179491054 24269236581 32358982108 48538473162 97076946324 523209758003 1046419516006 1569629274009 2092839032012 3139258548018 6278517096036 19358761046111 38717522092222 58076283138333 77435044184444 116152566276666 232305132553332