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231025392 = 243313311327
BaseRepresentation
bin11011100010100…
…10101011110000
3121002201022021000
431301102223300
5433120303032
634531402000
75503453263
oct1561225360
9532638230
10231025392
11109453884
1265453300
1338b2ac20
142297acda
1515436e7c
hexdc52af0

231025392 has 160 divisors (see below), whose sum is σ = 737730560. Its totient is φ = 68739840.

The previous prime is 231025381. The next prime is 231025453. The reversal of 231025392 is 293520132.

231025392 is a `hidden beast` number, since 23 + 102 + 539 + 2 = 666.

231025392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173433 + ... + 174759.

It is an arithmetic number, because the mean of its divisors is an integer number (4610816).

Almost surely, 2231025392 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 231025392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368865280).

231025392 is an abundant number, since it is smaller than the sum of its proper divisors (506705168).

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

231025392 is a wasteful number, since it uses less digits than its factorization.

231025392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 231025392 is about 15199.5194660884. The cubic root of 231025392 is about 613.6017251110.

The spelling of 231025392 in words is "two hundred thirty-one million, twenty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1327 1404 1488 1612 1674 1872 2232 2418 2654 2808 3224 3348 3627 3981 4464 4836 5308 5616 6448 6696 7254 7962 9672 10616 10881 11943 13392 14508 15924 17251 19344 21232 21762 23886 29016 31848 34502 35829 41137 43524 47772 51753 58032 63696 69004 71658 82274 87048 95544 103506 123411 138008 143316 155259 164548 174096 191088 207012 246822 276016 286632 310518 329096 370233 414024 465777 493644 534781 573264 621036 658192 740466 828048 931554 987288 1069562 1110699 1242072 1480932 1604343 1863108 1974576 2139124 2221398 2484144 2961864 3208686 3726216 4278248 4442796 4813029 5923728 6417372 7452432 8556496 8885592 9626058 12834744 14439087 17771184 19252116 25669488 28878174 38504232 57756348 77008464 115512696 231025392