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232020000020232 = 233222338533750499
BaseRepresentation
bin110100110000010101011101…
…101011101001011100001000
31010102111220011201201222000200
4310300111131223221130020
5220402403430001121412
62141244303323332200
766604614615622014
oct6460253553513410
91112456151658020
10232020000020232
1167a24147298426
1222033044681060
139c60513646398
144141b83b4d544
151bc558cab79dc
hexd3055dae9708

232020000020232 has 96 divisors (see below), whose sum is σ = 631369371360000. Its totient is φ = 76973180681088.

The previous prime is 232020000020191. The next prime is 232020000020233.

232020000020232 is a `hidden beast` number, since 232 + 0 + 200 + 0 + 0 + 0 + 2 + 0 + 232 = 666.

232020000020232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232020000020233) 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 23 ways as a sum of consecutive naturals, for example, 59988519 + ... + 63739017.

It is an arithmetic number, because the mean of its divisors is an integer number (6576764285000).

Almost surely, 2232020000020232 is an apocalyptic number.

It is an amenable number.

232020000020232 is an abundant number, since it is smaller than the sum of its proper divisors (399349371339768).

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

232020000020232 is a wasteful number, since it uses less digits than its factorization.

232020000020232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754587 (or 3754580 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 2320200000 and 20232, that added together give a palindrome (2320220232).

The spelling of 232020000020232 in words is "two hundred thirty-two trillion, twenty billion, twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 2007 2676 3853 4014 5352 7706 8028 11559 15412 16056 23118 30824 34677 46236 69354 92472 138708 277416 859219 1718438 2577657 3436876 3750499 5155314 6873752 7500998 7732971 10310628 11251497 15001996 15465942 20621256 22502994 30003992 30931884 33754491 45005988 61863768 67508982 90011976 135017964 270035928 836361277 1672722554 2509083831 3345445108 5018167662 6690890216 7527251493 10036335324 14450672647 15054502986 20072670648 28901345294 30109005972 43352017941 57802690588 60218011944 86704035882 115605381176 130056053823 173408071764 260112107646 346816143528 520224215292 1040448430584 3222500000281 6445000000562 9667500000843 12890000001124 19335000001686 25780000002248 29002500002529 38670000003372 58005000005058 77340000006744 116010000010116 232020000020232