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232480204600320 = 2103451731234313
BaseRepresentation
bin110100110111000010000100…
…000000110011010000000000
31010111010220001011211212220000
4310313002010000303100000
5220432423424334202240
62142235533120520000
766653066123202105
oct6467020400632000
91114126034755800
10232480204600320
1168091334828936
12220a827a180000
139c94a34c107c1
14415a15da1aaac
151bd2524b75430
hexd37084033400

232480204600320 has 1320 divisors, whose sum is σ = 911480881965192. Its totient is φ = 56464134635520.

The previous prime is 232480204600313. The next prime is 232480204600321. The reversal of 232480204600320 is 23006402084232.

232480204600320 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 8 + 0 + 20 + 4 + 600 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29952240362496 + 202527964237824 = 5472864^2 + 14231232^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232480204600321) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6775263484 + ... + 6775297796.

Almost surely, 2232480204600320 is an apocalyptic number.

232480204600320 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 232480204600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455740440982596).

232480204600320 is an abundant number, since it is smaller than the sum of its proper divisors (679000677364872).

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

232480204600320 is a wasteful number, since it uses less digits than its factorization.

232480204600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34429 (or 34371 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 232480204600320 its reverse (23006402084232), we get a palindrome (255486606684552).

The spelling of 232480204600320 in words is "two hundred thirty-two trillion, four hundred eighty billion, two hundred four million, six hundred thousand, three hundred twenty".