Search a number
-
+
231400368 = 24333137467
BaseRepresentation
bin11011100101011…
…10001110110000
3121010102100122000
431302232032300
5433214302433
634543414000
75506604433
oct1562561660
9533370560
10231400368
1110968a581
12655b4300
1338c2c7c4
1422a3781a
15154ad113
hexdcae3b0

231400368 has 160 divisors (see below), whose sum is σ = 705669120. Its totient is φ = 72472320.

The previous prime is 231400363. The next prime is 231400381. The reversal of 231400368 is 863004132.

It is a happy number.

It is a super-2 number, since 2×2314003682 = 107092260621070848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231400363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495271 + ... + 495737.

It is an arithmetic number, because the mean of its divisors is an integer number (4410432).

Almost surely, 2231400368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231400368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352834560).

231400368 is an abundant number, since it is smaller than the sum of its proper divisors (474268752).

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

231400368 is a wasteful number, since it uses less digits than its factorization.

231400368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 231400368 is about 15211.8495916835. The cubic root of 231400368 is about 613.9335234859.

The spelling of 231400368 in words is "two hundred thirty-one million, four hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 37 48 54 62 72 74 93 108 111 124 144 148 186 216 222 248 279 296 333 372 432 444 467 496 558 592 666 744 837 888 934 999 1116 1147 1332 1401 1488 1674 1776 1868 1998 2232 2294 2664 2802 3348 3441 3736 3996 4203 4464 4588 5328 5604 6696 6882 7472 7992 8406 9176 10323 11208 12609 13392 13764 14477 15984 16812 17279 18352 20646 22416 25218 27528 28954 30969 33624 34558 41292 43431 50436 51837 55056 57908 61938 67248 69116 82584 86862 100872 103674 115816 123876 130293 138232 155511 165168 173724 201744 207348 231632 247752 260586 276464 311022 347448 390879 414696 466533 495504 521172 535649 622044 694896 781758 829392 933066 1042344 1071298 1244088 1563516 1606947 1866132 2084688 2142596 2488176 3127032 3213894 3732264 4285192 4820841 6254064 6427788 7464528 8570384 9641682 12855576 14462523 19283364 25711152 28925046 38566728 57850092 77133456 115700184 231400368