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232586226053 = 1723613970391
BaseRepresentation
bin1101100010011100111…
…0000010100110000101
3211020100100000111001122
43120213032002212011
512302314033213203
6254503150003325
722542463205336
oct3304716024605
9736310014048
10232586226053
118a703952135
12390b07a6545
1318c1844393c
14b385bc428d
1560b415c538
hex3627382985

232586226053 has 16 divisors (see below), whose sum is σ = 257394537216. Its totient is φ = 209045295360.

The previous prime is 232586226013. The next prime is 232586226107. The reversal of 232586226053 is 350622685232.

It is not a de Polignac number, because 232586226053 - 210 = 232586225029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232586225995 and 232586226013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232586226013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245513 + ... + 724878.

It is an arithmetic number, because the mean of its divisors is an integer number (16087158576).

Almost surely, 2232586226053 is an apocalyptic number.

232586226053 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

232586226053 is a deficient number, since it is larger than the sum of its proper divisors (24808311163).

232586226053 is a wasteful number, since it uses less digits than its factorization.

232586226053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971044.

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 232586226053 in words is "two hundred thirty-two billion, five hundred eighty-six million, two hundred twenty-six thousand, fifty-three".

Divisors: 1 17 23 391 613 10421 14099 239683 970391 16496647 22318993 379422881 594849683 10112444611 13681542709 232586226053