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232003245421200 = 243521185992043959
BaseRepresentation
bin110100110000000101110111…
…000001111011001010010000
31010102110021221002000010221210
4310300011313001323022100
5220402120121311434300
62141232453010220120
766603452462106351
oct6460056701731220
91112407832003853
10232003245421200
1167a18029801170
122202b949584640
139c5ba73445266
1441410348add28
151bc4e0bc17050
hexd3017707b290

232003245421200 has 240 divisors, whose sum is σ = 810840567168000. Its totient is φ = 56236642828800.

The previous prime is 232003245421187. The next prime is 232003245421217. The reversal of 232003245421200 is 2124542300232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112484821 + ... + 114528779.

It is an arithmetic number, because the mean of its divisors is an integer number (3378502363200).

Almost surely, 2232003245421200 is an apocalyptic number.

232003245421200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232003245421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405420283584000).

232003245421200 is an abundant number, since it is smaller than the sum of its proper divisors (578837321746800).

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

232003245421200 is a wasteful number, since it uses less digits than its factorization.

232003245421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052590 (or 2052579 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 232003245421200 its reverse (2124542300232), we get a palindrome (234127787721432).

The spelling of 232003245421200 in words is "two hundred thirty-two trillion, three billion, two hundred forty-five million, four hundred twenty-one thousand, two hundred".