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231133364 = 2271129113229
BaseRepresentation
bin11011100011011…
…01000010110100
3121002220210100222
431301231002310
5433132231424
634533553512
75504413130
oct1561550264
9532823328
10231133364
11109517a10
12654a5898
1338b68107
14229a83c0
1515458e5e
hexdc6d0b4

231133364 has 96 divisors (see below), whose sum is σ = 528595200. Its totient is φ = 85800960.

The previous prime is 231133351. The next prime is 231133367. The reversal of 231133364 is 463331132.

It is a happy number.

231133364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231133367) 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, 1009202 + ... + 1009430.

It is an arithmetic number, because the mean of its divisors is an integer number (5506200).

Almost surely, 2231133364 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 231133364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264297600).

231133364 is an abundant number, since it is smaller than the sum of its proper divisors (297461836).

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

231133364 is a wasteful number, since it uses less digits than its factorization.

231133364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

The square root of 231133364 is about 15203.0708740044. The cubic root of 231133364 is about 613.6973011664.

Adding to 231133364 its reverse (463331132), we get a palindrome (694464496).

The spelling of 231133364 in words is "two hundred thirty-one million, one hundred thirty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 113 116 154 203 226 229 308 319 406 452 458 638 791 812 916 1243 1276 1582 1603 2233 2486 2519 3164 3206 3277 4466 4972 5038 6412 6554 6641 8701 8932 10076 13108 13282 17402 17633 22939 25877 26564 34804 35266 36047 45878 46487 51754 70532 72094 73051 91756 92974 103508 144188 146102 181139 185948 252329 284647 292204 362278 504658 511357 569294 724556 750433 1009316 1022714 1138588 1500866 1992529 2045428 3001732 3985058 5253031 7970116 8254763 10506062 16509526 21012124 33019052 57783341 115566682 231133364