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231338474640 = 2432572133153307
BaseRepresentation
bin1101011101110011011…
…0001111110010010000
3211010010101011010220100
43113130312033302100
512242240122142030
6254135254212400
722466532406200
oct3273466176220
9733111133810
10231338474640
118a1235a1019
1238a02954100
1318a79aa06b0
14b2a81c4400
15603e83d360
hex35dcd8fc90

231338474640 has 1440 divisors, whose sum is σ = 1026960270336. Its totient is φ = 46193172480.

The previous prime is 231338474623. The next prime is 231338474641. The reversal of 231338474640 is 46474833132.

231338474640 is a `hidden beast` number, since 2 + 3 + 133 + 8 + 474 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (231338474641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 753545367 + ... + 753545673.

Almost surely, 2231338474640 is an apocalyptic number.

231338474640 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 231338474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513480135168).

231338474640 is an abundant number, since it is smaller than the sum of its proper divisors (795621795696).

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

231338474640 is a wasteful number, since it uses less digits than its factorization.

231338474640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 231338474640 in words is "two hundred thirty-one billion, three hundred thirty-eight million, four hundred seventy-four thousand, six hundred forty".