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232238211921 = 321606372
BaseRepresentation
bin1101100001001001111…
…0011110001101010001
3211012110002011112102100
43120102132132031101
512301110440240141
6254404434511013
722531036142022
oct3302236361521
9735402145370
10232238211921
118a545463a51
1239014135469
1318b91304611
14b3518b2c49
1560938170b6
hex361279e351

232238211921 has 9 divisors (see below), whose sum is σ = 335457283291. Its totient is φ = 154824510792.

The previous prime is 232238211899. The next prime is 232238212007. The reversal of 232238211921 is 129112832232.

The square root of 232238211921 is 481911.

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

232238211921 is a `hidden beast` number, since 2 + 322 + 38 + 211 + 92 + 1 = 666.

232238211921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30784457025 + 201453754896 = 175455^2 + 448836^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-232238211921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232238211221) 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, 1365415 + ... + 1526051.

Almost surely, 2232238211921 is an apocalyptic number.

232238211921 is the 481911-st square number.

232238211921 is the 240956-th centered octagonal number.

It is an amenable number.

232238211921 is a deficient number, since it is larger than the sum of its proper divisors (103219071370).

232238211921 is an frugal number, since it uses more digits than its factorization.

232238211921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321280 (or 160640 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

Multiplying 232238211921 by its sum of digits (36), we get a square (8360575629156 = 28914662).

The spelling of 232238211921 in words is "two hundred thirty-two billion, two hundred thirty-eight million, two hundred eleven thousand, nine hundred twenty-one".

Divisors: 1 3 9 160637 481911 1445733 25804245769 77412737307 232238211921