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231366640 = 24529313217
BaseRepresentation
bin11011100101001…
…01111111110000
3121010100122100211
431302211333300
5433212213030
634542553504
75506404211
oct1562457760
9533318324
10231366640
111096671aa
1265598894
1338c1a34b
1422a29408
15154a312a
hexdca5ff0

231366640 has 80 divisors (see below), whose sum is σ = 574606080. Its totient is φ = 86446080.

The previous prime is 231366613. The next prime is 231366673. The reversal of 231366640 is 46663132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70312 + ... + 73528.

It is an arithmetic number, because the mean of its divisors is an integer number (7182576).

Almost surely, 2231366640 is an apocalyptic number.

231366640 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 231366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287303040).

231366640 is an abundant number, since it is smaller than the sum of its proper divisors (343239440).

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

231366640 is a wasteful number, since it uses less digits than its factorization.

231366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 231366640 is about 15210.7409418476. The cubic root of 231366640 is about 613.9036938646.

The spelling of 231366640 in words is "two hundred thirty-one million, three hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 80 116 124 145 155 232 248 290 310 464 496 580 620 899 1160 1240 1798 2320 2480 3217 3596 4495 6434 7192 8990 12868 14384 16085 17980 25736 32170 35960 51472 64340 71920 93293 99727 128680 186586 199454 257360 373172 398908 466465 498635 746344 797816 932930 997270 1492688 1595632 1865860 1994540 2892083 3731720 3989080 5784166 7463440 7978160 11568332 14460415 23136664 28920830 46273328 57841660 115683320 231366640