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232661929452 = 2231910337326561
BaseRepresentation
bin1101100010101110111…
…0110100110111101100
3211020112121110121121020
43120223232310313230
512302442423220302
6254514452334140
722544402525061
oct3305356646754
9736477417536
10232661929452
118a742659227
1239112014350
1318c2b02b454
14b391c8cc68
1560bab12ebc
hex362bbb4dec

232661929452 has 96 divisors (see below), whose sum is σ = 578567109120. Its totient is φ = 72561070080.

The previous prime is 232661929441. The next prime is 232661929459. The reversal of 232661929452 is 254929166232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 232661929395 and 232661929404.

It is not an unprimeable number, because it can be changed into a prime (232661929459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8746252 + ... + 8772812.

It is an arithmetic number, because the mean of its divisors is an integer number (6026740720).

Almost surely, 2232661929452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232661929452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289283554560).

232661929452 is an abundant number, since it is smaller than the sum of its proper divisors (345905179668).

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

232661929452 is a wasteful number, since it uses less digits than its factorization.

232661929452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27063 (or 27061 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The spelling of 232661929452 in words is "two hundred thirty-two billion, six hundred sixty-one million, nine hundred twenty-nine thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 103 114 206 228 309 373 412 618 746 1119 1236 1492 1957 2238 3914 4476 5871 7087 7828 11742 14174 21261 23484 26561 28348 38419 42522 53122 76838 79683 85044 106244 115257 153676 159366 230514 318732 461028 504659 729961 1009318 1459922 1513977 2018636 2189883 2735783 2919844 3027954 4379766 5471566 6055908 8207349 8759532 9907253 10943132 16414698 19814506 29721759 32829396 39629012 51979877 59443518 103959754 118887036 155939631 188237807 207919508 311879262 376475614 564713421 623758524 752951228 1020447059 1129426842 2040894118 2258853684 3061341177 4081788236 6122682354 12245364708 19388494121 38776988242 58165482363 77553976484 116330964726 232661929452