Search a number
-
+
232334604121 = 19223211032
BaseRepresentation
bin1101100001100000111…
…0001011011101011001
3211012200210112202122211
43120120032023131121
512301310124312441
6254422200515121
722533316356604
oct3303016133531
9735623482584
10232334604121
118a594910924
123904047baa1
1318ba8283c19
14b36060533b
15609c007a81
hex361838b759

232334604121 has 27 divisors (see below), whose sum is σ = 256563605109. Its totient is φ = 210345744312.

The previous prime is 232334604107. The next prime is 232334604179. The reversal of 232334604121 is 121406433232.

It is a happy number.

The square root of 232334604121 is 482011.

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

232334604121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232334604121 - 27 = 232334603993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232334604521) 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 26 ways as a sum of consecutive naturals, for example, 210638256 + ... + 210639358.

Almost surely, 2232334604121 is an apocalyptic number.

232334604121 is the 482011-st square number.

232334604121 is the 241006-th centered octagonal number.

It is an amenable number.

232334604121 is a deficient number, since it is larger than the sum of its proper divisors (24229000988).

232334604121 is an frugal number, since it uses more digits than its factorization.

232334604121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 232334604121 in words is "two hundred thirty-two billion, three hundred thirty-four million, six hundred four thousand, one hundred twenty-one".

Divisors: 1 19 23 361 437 529 1103 8303 10051 20957 25369 190969 398183 482011 583487 1216609 9158209 11086253 23115571 27982007 210638807 439195849 531658133 643586161 10101504527 12228137059 232334604121