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23308132232 = 23721127012
BaseRepresentation
bin10101101101010001…
…011101111110001000
32020011101100210112202
4111231101131332020
5340213340212412
614412502055332
71453411566200
oct255521357610
966141323482
1023308132232
119980918800
124625a1a548
132275b76628
1411b17bb400
159163c83c2
hex56d45df88

23308132232 has 108 divisors (see below), whose sum is σ = 55959492645. Its totient is φ = 9068136000.

The previous prime is 23308132201. The next prime is 23308132301. The reversal of 23308132232 is 23223180332.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 19682406436 + 3625725796 = 140294^2 + 60214^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=107954.

It is a junction number, because it is equal to n+sod(n) for n = 23308132195 and 23308132204.

It is an unprimeable number.

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, 33249482 + ... + 33250182.

Almost surely, 223308132232 is an apocalyptic number.

23308132232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23308132232

23308132232 is an abundant number, since it is smaller than the sum of its proper divisors (32651360413).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23308132232 is an equidigital number, since it uses as much as digits as its factorization.

23308132232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Multiplying 23308132232 by its product of nonzero digits (10368), we get a square (241658714981376 = 155453762).

The spelling of 23308132232 in words is "twenty-three billion, three hundred eight million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 701 847 968 1078 1402 1694 2156 2804 3388 4312 4907 5608 5929 6776 7711 9814 11858 15422 19628 23716 30844 34349 39256 47432 53977 61688 68698 84821 107954 137396 169642 215908 274792 339284 377839 431816 491401 593747 678568 755678 982802 1187494 1511356 1965604 2374988 3022712 3439807 3931208 4156229 4749976 5405411 6879614 8312458 10810822 13759228 16624916 21621644 24078649 27518456 33249832 37837877 43243288 48157298 59459521 75675754 96314596 118919042 151351508 192629192 237838084 264865139 302703016 416216647 475676168 529730278 832433294 1059460556 1664866588 2118921112 2913516529 3329733176 5827033058 11654066116 23308132232