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232740225024 = 21731737941
BaseRepresentation
bin1101100011000001100…
…1100000000000000000
3211020202001210102221020
43120300121200000000
512303122444200044
6254530330425440
722546343162046
oct3306031400000
9736661712836
10232740225024
118a78287590a
1239134292280
1318c41312aa8
14b39c430396
1560c292ba19
hex3630660000

232740225024 has 288 divisors, whose sum is σ = 675624299616. Its totient is φ = 70967623680.

The previous prime is 232740225023. The next prime is 232740225031. The reversal of 232740225024 is 420522047232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232740225023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247332394 + ... + 247333334.

It is an arithmetic number, because the mean of its divisors is an integer number (2345917707).

Almost surely, 2232740225024 is an apocalyptic number.

232740225024 is a gapful number since it is divisible by the number (24) 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 232740225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337812149808).

232740225024 is an abundant number, since it is smaller than the sum of its proper divisors (442884074592).

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

232740225024 is an frugal number, since it uses more digits than its factorization.

232740225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The spelling of 232740225024 in words is "two hundred thirty-two billion, seven hundred forty million, two hundred twenty-five thousand, twenty-four".