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231229376 = 2671797313
BaseRepresentation
bin11011100100001…
…00011111000000
3121010002200001222
431302010133000
5433143320001
634540014212
75505263060
oct1562043700
9533080058
10231229376
11109583064
1265531368
1338b9ca21
14229d13a0
151547761b
hexdc847c0

231229376 has 112 divisors (see below), whose sum is σ = 562758336. Its totient is φ = 92012544.

The previous prime is 231229367. The next prime is 231229399. The reversal of 231229376 is 673922132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738596 + ... + 738908.

It is an arithmetic number, because the mean of its divisors is an integer number (5024628).

Almost surely, 2231229376 is an apocalyptic number.

231229376 is the 12416-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281379168).

231229376 is an abundant number, since it is smaller than the sum of its proper divisors (331528960).

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

231229376 is a wasteful number, since it uses less digits than its factorization.

231229376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 231229376 is about 15206.2281976827. The cubic root of 231229376 is about 613.7822653150.

It can be divided in two parts, 2312 and 29376, that multiplied together give a cube (67917312 = 4083).

The spelling of 231229376 in words is "two hundred thirty-one million, two hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 97 112 119 136 194 224 238 272 313 388 448 476 544 626 679 776 952 1088 1252 1358 1552 1649 1904 2191 2504 2716 3104 3298 3808 4382 5008 5321 5432 6208 6596 7616 8764 10016 10642 10864 11543 13192 17528 20032 21284 21728 23086 26384 30361 35056 37247 42568 43456 46172 52768 60722 70112 74494 85136 92344 105536 121444 140224 148988 170272 184688 212527 242888 297976 340544 369376 425054 485776 516137 595952 738752 850108 971552 1032274 1191904 1700216 1943104 2064548 2383808 3400432 3612959 4129096 6800864 7225918 8258192 13601728 14451836 16516384 28903672 33032768 57807344 115614688 231229376