Search a number
-
+
232082099001 = 321605832
BaseRepresentation
bin1101100000100100101…
…0111100101100111001
3211012001012102011202100
43120021022330230321
512300301004132001
6254341140454013
722524132202224
oct3301112745471
9735035364670
10232082099001
118a475327005
1238b8b9aa309
1318b67b751cc
14b338c765bb
156084c7b586
hex36092bcb39

232082099001 has 9 divisors (see below), whose sum is σ = 335231786149. Its totient is φ = 154720435836.

The previous prime is 232082098999. The next prime is 232082099017. The reversal of 232082099001 is 100990280232.

The square root of 232082099001 is 481749.

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

232082099001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 232082099001 - 21 = 232082098999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232082099201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1364956 + ... + 1525538.

Almost surely, 2232082099001 is an apocalyptic number.

232082099001 is the 481749-th square number.

232082099001 is the 240875-th centered octagonal number.

It is an amenable number.

232082099001 is a deficient number, since it is larger than the sum of its proper divisors (103149687148).

232082099001 is an frugal number, since it uses more digits than its factorization.

232082099001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321172 (or 160586 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 232082099001 by its sum of digits (36), we get a square (8354955564036 = 28904942).

The spelling of 232082099001 in words is "two hundred thirty-two billion, eighty-two million, ninety-nine thousand, one".

Divisors: 1 3 9 160583 481749 1445247 25786899889 77360699667 232082099001