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232225856280 = 23355112394433
BaseRepresentation
bin1101100001000110111…
…1010101101100011000
3211012102012220210200000
43120101233111230120
512301044304400110
6254403314013000
722530526131525
oct3302157255430
9735365823600
10232225856280
118a539494a80
123900bb77160
1318b8b8997a2
14b34ddb814c
1560926c61c0
hex3611bd5b18

232225856280 has 384 divisors, whose sum is σ = 890973457920. Its totient is φ = 53848903680.

The previous prime is 232225856231. The next prime is 232225856281. The reversal of 232225856280 is 82658522232.

232225856280 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 2 + 5 + 8 + 562 + 80 = 666.

232225856280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232225856281) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2411944 + ... + 2506376.

It is an arithmetic number, because the mean of its divisors is an integer number (2320243380).

Almost surely, 2232225856280 is an apocalyptic number.

232225856280 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 232225856280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445486728960).

232225856280 is an abundant number, since it is smaller than the sum of its proper divisors (658747601640).

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

232225856280 is a wasteful number, since it uses less digits than its factorization.

232225856280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94493 (or 94477 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 232225856280 in words is "two hundred thirty-two billion, two hundred twenty-five million, eight hundred fifty-six thousand, two hundred eighty".