Search a number
-
+
23029332288 = 263233514783
BaseRepresentation
bin10101011100101001…
…111011100101000000
32012102221202021220220
4111130221323211000
5334131002113123
614325102303040
71443455044314
oct253451734500
965387667826
1023029332288
119848504226
124568587a80
13223018c251
141186765b44
158ebba5ce3
hex55ca7b940

23029332288 has 56 divisors (see below), whose sum is σ = 61193403648. Its totient is φ = 7643483136.

The previous prime is 23029332269. The next prime is 23029332289. The reversal of 23029332288 is 88223392032.

It is a super-2 number, since 2×230293322882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23029332289) 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 7 ways as a sum of consecutive naturals, for example, 212656 + ... + 302127.

Almost surely, 223029332288 is an apocalyptic number.

It is an amenable number.

23029332288 is an abundant number, since it is smaller than the sum of its proper divisors (38164071360).

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

23029332288 is a wasteful number, since it uses less digits than its factorization.

23029332288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515031 (or 515021 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 23029332288 in words is "twenty-three billion, twenty-nine million, three hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 466 699 932 1398 1864 2796 3728 5592 7456 11184 14912 22368 44736 514783 1029566 1544349 2059132 3088698 4118264 6177396 8236528 12354792 16473056 24709584 32946112 49419168 98838336 119944439 239888878 359833317 479777756 719666634 959555512 1439333268 1919111024 2878666536 3838222048 5757333072 7676444096 11514666144 23029332288