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231227910144 = 2113371124937
BaseRepresentation
bin1101011101011001000…
…0011110100000000000
3211002211200002212221000
43113112100132200000
512242023321111034
6254120304332000
722464020543550
oct3272620364000
9732750085830
10231227910144
118a077144300
1238991914000
1318a5cbcb40a
14b297643160
156034c9d599
hex35d641e800

231227910144 has 576 divisors, whose sum is σ = 860610441600. Its totient is φ = 60047032320.

The previous prime is 231227910127. The next prime is 231227910157. The reversal of 231227910144 is 441019722132.

231227910144 is a `hidden beast` number, since 231 + 2 + 279 + 10 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 231227910099 and 231227910108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46833244 + ... + 46838180.

It is an arithmetic number, because the mean of its divisors is an integer number (1494115350).

Almost surely, 2231227910144 is an apocalyptic number.

231227910144 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 231227910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430305220800).

231227910144 is an abundant number, since it is smaller than the sum of its proper divisors (629382531456).

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

231227910144 is a wasteful number, since it uses less digits than its factorization.

231227910144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 231227910144 in words is "two hundred thirty-one billion, two hundred twenty-seven million, nine hundred ten thousand, one hundred forty-four".