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231383320 = 235771103113
BaseRepresentation
bin11011100101010…
…10000100011000
3121010101111020121
431302222010120
5433213231240
634543203024
75506503640
oct1562520430
9533344217
10231383320
11109678793
12655a6474
1338c24b0c
1422a31520
15154a804a
hexdcaa118

231383320 has 128 divisors (see below), whose sum is σ = 614615040. Its totient is φ = 76769280.

The previous prime is 231383297. The next prime is 231383371. The reversal of 231383320 is 23383132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2047584 + ... + 2047696.

It is an arithmetic number, because the mean of its divisors is an integer number (4801680).

Almost surely, 2231383320 is an apocalyptic number.

231383320 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 231383320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307307520).

231383320 is an abundant number, since it is smaller than the sum of its proper divisors (383231720).

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

231383320 is a wasteful number, since it uses less digits than its factorization.

231383320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 231383320 is about 15211.2892287275. The cubic root of 231383320 is about 613.9184463048.

The spelling of 231383320 in words is "two hundred thirty-one million, three hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 103 113 140 142 206 226 280 284 355 412 452 497 515 565 568 710 721 791 824 904 994 1030 1130 1420 1442 1582 1988 2060 2260 2485 2840 2884 3164 3605 3955 3976 4120 4520 4970 5768 6328 7210 7313 7910 8023 9940 11639 14420 14626 15820 16046 19880 23278 28840 29252 31640 32092 36565 40115 46556 51191 56161 58195 58504 64184 73130 80230 81473 93112 102382 112322 116390 146260 160460 162946 204764 224644 232780 255955 280805 292520 320920 325892 407365 409528 449288 465560 511910 561610 651784 814730 826369 1023820 1123220 1629460 1652738 2047640 2246440 3258920 3305476 4131845 5784583 6610952 8263690 11569166 16527380 23138332 28922915 33054760 46276664 57845830 115691660 231383320