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232256905432320 = 2835412805752579
BaseRepresentation
bin110100110011110010000110…
…010110000100110100000000
31010110100112200002001211110110
4310303302012112010310000
5220420244120242313240
62141545203244431320
766631002426452436
oct6463620626046400
91113315602054413
10232256905432320
116800566721199a
1222070b3b848540
139c799698662b2
14414d419412d56
151bcb805ee8c80
hexd33c86584d00

232256905432320 has 288 divisors, whose sum is σ = 759903990088320. Its totient is φ = 60421257953280.

The previous prime is 232256905432309. The next prime is 232256905432421. The reversal of 232256905432320 is 23234509652232.

It is a happy number.

It is a super-2 number, since 2×2322569054323202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 232256905432320.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4417267791 + ... + 4417320369.

It is an arithmetic number, because the mean of its divisors is an integer number (2638555521140).

Almost surely, 2232256905432320 is an apocalyptic number.

232256905432320 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 232256905432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379951995044160).

232256905432320 is an abundant number, since it is smaller than the sum of its proper divisors (527647084656000).

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

232256905432320 is a wasteful number, since it uses less digits than its factorization.

232256905432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80701 (or 80687 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 232256905432320 in words is "two hundred thirty-two trillion, two hundred fifty-six billion, nine hundred five million, four hundred thirty-two thousand, three hundred twenty".