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231464117700 = 223452299671019
BaseRepresentation
bin1101011110010001010…
…1100010010111000100
3211010110010120110210000
43113210111202113010
512243014303231300
6254155543201300
722502616352404
oct3274425422704
9733403513700
10231464117700
118a188507562
1238a38a46230
1318a99b21cba
14b2bab6c804
15604a8aac00
hex35e45625c4

231464117700 has 360 divisors, whose sum is σ = 777753345600. Its totient is φ = 59475306240.

The previous prime is 231464117669. The next prime is 231464117707. The reversal of 231464117700 is 7711464132.

231464117700 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 641 + 1 + 7 + 7 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (231464117707) 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, 227147791 + ... + 227148809.

It is an arithmetic number, because the mean of its divisors is an integer number (2160425960).

Almost surely, 2231464117700 is an apocalyptic number.

231464117700 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 231464117700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388876672800).

231464117700 is an abundant number, since it is smaller than the sum of its proper divisors (546289227900).

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

231464117700 is a wasteful number, since it uses less digits than its factorization.

231464117700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 231464117700 in words is "two hundred thirty-one billion, four hundred sixty-four million, one hundred seventeen thousand, seven hundred".