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231369768 = 23327265581
BaseRepresentation
bin11011100101001…
…10110000101000
3121010100210122200
431302212300220
5433212313033
634543020200
75506416300
oct1562466050
9533323580
10231369768
11109669593
126559a660
1338c1b8b6
1422a2a600
15154a4013
hexdca6c28

231369768 has 72 divisors (see below), whose sum is σ = 728943930. Its totient is φ = 66104640.

The previous prime is 231369737. The next prime is 231369781. The reversal of 231369768 is 867963132.

It can be written as a sum of positive squares in only one way, i.e., 229886244 + 1483524 = 15162^2 + 1218^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29263 + ... + 36318.

Almost surely, 2231369768 is an apocalyptic number.

231369768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

231369768 is an abundant number, since it is smaller than the sum of its proper divisors (497574162).

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

231369768 is a wasteful number, since it uses less digits than its factorization.

231369768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65607 (or 65593 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 231369768 is about 15210.8437635787. The cubic root of 231369768 is about 613.9064604434.

The spelling of 231369768 in words is "two hundred thirty-one million, three hundred sixty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 65581 131162 196743 262324 393486 459067 524648 590229 786972 918134 1180458 1377201 1573944 1836268 2360916 2754402 3213469 3672536 4131603 4721832 5508804 6426938 8263206 9640407 11017608 12853876 16526412 19280814 25707752 28921221 33052824 38561628 57842442 77123256 115684884 231369768