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233828339364 = 22328329712
BaseRepresentation
bin1101100111000101000…
…0010100111010100100
3211100112220021101012100
43121301100110322210
512312340023324424
6255230320452100
722615325043054
oct3316120247244
9740486241170
10233828339364
1190191002264
123939877a030
1319085891829
14b462b57564
156138215dc9
hex3671414ea4

233828339364 has 81 divisors (see below), whose sum is σ = 598889932459. Its totient is φ = 76924406640.

The previous prime is 233828339323. The next prime is 233828339449. The reversal of 233828339364 is 463933828332.

The square root of 233828339364 is 483558.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 233828339364.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 240811399 + ... + 240812369.

Almost surely, 2233828339364 is an apocalyptic number.

233828339364 is the 483558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233828339364

233828339364 is an abundant number, since it is smaller than the sum of its proper divisors (365061593095).

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

233828339364 is an frugal number, since it uses more digits than its factorization.

233828339364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 1059 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 233828339364 in words is "two hundred thirty-three billion, eight hundred twenty-eight million, three hundred thirty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 971 996 1494 1942 2913 2988 3884 5826 6889 8739 11652 13778 17478 20667 27556 34956 41334 62001 80593 82668 124002 161186 241779 248004 322372 483558 725337 942841 967116 1450674 1885682 2828523 2901348 3771364 5657046 6689219 8485569 11314092 13378438 16971138 20067657 26756876 33942276 40135314 60202971 78255803 80270628 120405942 156511606 234767409 240811884 313023212 469534818 704302227 939069636 1408604454 2817208908 6495231649 12990463298 19485694947 25980926596 38971389894 58457084841 77942779788 116914169682 233828339364