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232804408232 = 231126342123893
BaseRepresentation
bin1101100011010000111…
…0010101101110101000
3211020220112120021202002
43120310032111232220
512303240412030412
6254540542230132
722551052551104
oct3306416255650
9736815507662
10232804408232
118a806023690
1239151885348
1318c516c5b16
14b3a6b7a904
1560c83a8dc2
hex3634395ba8

232804408232 has 64 divisors (see below), whose sum is σ = 479156895360. Its totient is φ = 105163027200.

The previous prime is 232804408223. The next prime is 232804408253.

232804408232 is nontrivially palindromic in base 10.

232804408232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 9731678 + ... + 9755570.

It is an arithmetic number, because the mean of its divisors is an integer number (7486826490).

Almost surely, 2232804408232 is an apocalyptic number.

232804408232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232804408232 is an abundant number, since it is smaller than the sum of its proper divisors (246352487128).

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

232804408232 is a wasteful number, since it uses less digits than its factorization.

232804408232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24594 (or 24590 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 232804408232 in words is "two hundred thirty-two billion, eight hundred four million, four hundred eight thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 263 421 526 842 1052 1684 2104 2893 3368 4631 5786 9262 11572 18524 23144 23893 37048 47786 95572 110723 191144 221446 262823 442892 525646 885784 1051292 1217953 2102584 2435906 4871812 6283859 9743624 10058953 12567718 20117906 25135436 40235812 50270872 69122449 80471624 110648483 138244898 221296966 276489796 442593932 552979592 885187864 2645504639 5291009278 10582018556 21164037112 29100551029 58201102058 116402204116 232804408232