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231354032 = 24713198363
BaseRepresentation
bin11011100101000…
…10111010110000
3121010100000001212
431302202322300
5433211312112
634542415252
75506322360
oct1562427260
9533300055
10231354032
11109658788
1265591528
1338c146a0
1422a249a0
151549e522
hexdca2eb0

231354032 has 80 divisors (see below), whose sum is σ = 580796160. Its totient is φ = 86697216.

The previous prime is 231354031. The next prime is 231354043. The reversal of 231354032 is 230453132.

231354032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 231353989 and 231354007.

It is not an unprimeable number, because it can be changed into a prime (231354031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23483 + ... + 31845.

It is an arithmetic number, because the mean of its divisors is an integer number (7259952).

Almost surely, 2231354032 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 231354032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290398080).

231354032 is an abundant number, since it is smaller than the sum of its proper divisors (349442128).

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

231354032 is a wasteful number, since it uses less digits than its factorization.

231354032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 231354032 is about 15210.3264922223. The cubic root of 231354032 is about 613.8925423890.

The spelling of 231354032 in words is "two hundred thirty-one million, three hundred fifty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 728 988 1064 1456 1729 1976 2128 3458 3952 6916 8363 13832 16726 27664 33452 58541 66904 108719 117082 133808 158897 217438 234164 317794 434876 468328 635588 761033 869752 936656 1112279 1271176 1522066 1739504 2065661 2224558 2542352 3044132 4131322 4449116 6088264 8262644 8898232 12176528 14459627 16525288 17796464 28919254 33050576 57838508 115677016 231354032