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232051268089 = 5326121492
BaseRepresentation
bin1101100000011101010…
…1010101100111111001
3211011222001101210200201
43120013111111213321
512300220111034324
6254334120002201
722523306143204
oct3300725254771
9734861353621
10232051268089
118a459989313
1238b81600361
1318b6166bc74
14b334b2c93b
1560821db444
hex36075559f9

232051268089 has 27 divisors (see below), whose sum is σ = 242077623879. Its totient is φ = 222437641920.

The previous prime is 232051268083. The next prime is 232051268101. The reversal of 232051268089 is 980862150232.

The square root of 232051268089 is 481717.

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

It can be written as a sum of positive squares in 13 ways, for example, as 231895218025 + 156050064 = 481555^2 + 12492^2 .

It is not a de Polignac number, because 232051268089 - 215 = 232051235321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232051268083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1557390987 + ... + 1557391135.

Almost surely, 2232051268089 is an apocalyptic number.

232051268089 is the 481717-th square number.

232051268089 is the 240859-th centered octagonal number.

It is an amenable number.

232051268089 is a deficient number, since it is larger than the sum of its proper divisors (10026355790).

232051268089 is an frugal number, since it uses more digits than its factorization.

232051268089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 232051268089 in words is "two hundred thirty-two billion, fifty-one million, two hundred sixty-eight thousand, eighty-nine".

Divisors: 1 53 61 149 2809 3233 3721 7897 9089 22201 171349 197213 418541 481717 554429 1176653 1354261 10452289 25531001 29384737 62362609 71775833 82609921 1557391061 3804119149 4378325813 232051268089