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232303756441 = 79261012
BaseRepresentation
bin1101100001011001100…
…0100000010010011001
3211012121122111112121011
43120112120200102121
512301224230201231
6254415135413521
722532463230641
oct3302630402231
9735548445534
10232303756441
118a579461579
12390320842a1
1318ba1a73163
14b35a495521
1560994629b1
hex3616620499

232303756441 has 9 divisors (see below), whose sum is σ = 235320103263. Its totient is φ = 229325608200.

The previous prime is 232303756427. The next prime is 232303756511. The reversal of 232303756441 is 144657303232.

The square root of 232303756441 is 481979.

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

It can be written as a sum of positive squares in only one way, i.e., 146864466441 + 85439290000 = 383229^2 + 292300^2 .

It is not a de Polignac number, because 232303756441 - 213 = 232303748249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232303756394 and 232303756403.

It is not an unprimeable number, because it can be changed into a prime (232303706441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38073291 + ... + 38079391.

Almost surely, 2232303756441 is an apocalyptic number.

232303756441 is the 481979-th square number.

232303756441 is the 240990-th centered octagonal number.

It is an amenable number.

232303756441 is a deficient number, since it is larger than the sum of its proper divisors (3016346822).

232303756441 is an frugal number, since it uses more digits than its factorization.

232303756441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 232303756441 in words is "two hundred thirty-two billion, three hundred three million, seven hundred fifty-six thousand, four hundred forty-one".

Divisors: 1 79 6101 6241 481979 37222201 38076341 2940553879 232303756441