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232253443245105 = 32529891999685249
BaseRepresentation
bin110100110011101110110111…
…111110111000010000110001
31010110100012201210100111110100
4310303232313332320100301
5220420220022432320410
62141543431530023013
766630520556401242
oct6463566776702061
91113305653314410
10232253443245105
116800414a971447
1222070334277a69
139c795374a8ac9
14414d1ab698cc9
151bcb6a20aa8c0
hexd33bb7fb8431

232253443245105 has 48 divisors (see below), whose sum is σ = 421133713650000. Its totient is φ = 118253386825728.

The previous prime is 232253443245071. The next prime is 232253443245119. The reversal of 232253443245105 is 501542344352232.

It is a happy number.

232253443245105 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 534 + 4 + 3 + 2 + 4 + 5 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21940914596769 + 210312528648336 = 4684113^2 + 14502156^2 .

It is not a de Polignac number, because 232253443245105 - 26 = 232253443245041 is a prime.

It is a super-2 number, since 2×2322534432451052 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 999726480 + ... + 999958769.

It is an arithmetic number, because the mean of its divisors is an integer number (8773619034375).

Almost surely, 2232253443245105 is an apocalyptic number.

It is an amenable number.

232253443245105 is a deficient number, since it is larger than the sum of its proper divisors (188880270404895).

232253443245105 is a wasteful number, since it uses less digits than its factorization.

232253443245105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999685378 (or 1999685375 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 232253443245105 its reverse (501542344352232), we get a palindrome (733795787597337).

The spelling of 232253443245105 in words is "two hundred thirty-two trillion, two hundred fifty-three billion, four hundred forty-three million, two hundred forty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 29 45 87 89 145 261 267 435 445 801 1305 1335 2581 4005 7743 12905 23229 38715 116145 1999685249 5999055747 9998426245 17997167241 29995278735 57990872221 89985836205 173972616663 177971987161 289954361105 521917849989 533915961483 869863083315 889859935805 1601747884449 2609589249945 2669579807415 5161187627669 8008739422245 15483562883007 25805938138345 46450688649021 77417814415035 232253443245105