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231085572 = 2232937131137
BaseRepresentation
bin11011100011000…
…01011000000100
3121002211100210220
431301201120010
5433124214242
634532544340
75504123604
oct1561413004
9532740726
10231085572
11109495013
12654820b0
1338b4c433
1422994c04
1515449bec
hexdc61604

231085572 has 96 divisors (see below), whose sum is σ = 581454720. Its totient is φ = 71285760.

The previous prime is 231085571. The next prime is 231085579. The reversal of 231085572 is 275580132.

231085572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231085571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686688 + ... + 1686824.

It is an arithmetic number, because the mean of its divisors is an integer number (6056820).

Almost surely, 2231085572 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 231085572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290727360).

231085572 is an abundant number, since it is smaller than the sum of its proper divisors (350369148).

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

231085572 is a wasteful number, since it uses less digits than its factorization.

231085572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 231085572 is about 15201.4990050324. The cubic root of 231085572 is about 613.6549996964.

It can be divided in two parts, 23108 and 5572, that added together give a triangular number (28680 = T239).

The spelling of 231085572 in words is "two hundred thirty-one million, eighty-five thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 131 137 148 174 222 262 274 348 393 411 444 524 548 786 822 1073 1572 1644 2146 3219 3799 3973 4292 4847 5069 6438 7598 7946 9694 10138 11397 11919 12876 14541 15196 15207 15892 17947 19388 20276 22794 23838 29082 30414 35894 45588 47676 53841 58164 60828 71788 107682 140563 147001 215364 281126 294002 421689 441003 520463 562252 588004 664039 843378 882006 1040926 1328078 1561389 1686756 1764012 1992117 2081852 2656156 3122778 3984234 6245556 7968468 19257131 38514262 57771393 77028524 115542786 231085572