Search a number
-
+
231190932 = 223731471889
BaseRepresentation
bin11011100011110…
…11000110010100
3121010000201100010
431301323012110
5433141102212
634535120220
75505043020
oct1561730624
9533021303
10231190932
11109557195
1265513070
1338b8838b
14229c1380
151546b03c
hexdc7b194

231190932 has 96 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 62530560.

The previous prime is 231190891. The next prime is 231190951. The reversal of 231190932 is 239091132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 231190932.

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, 121444 + ... + 123332.

It is an arithmetic number, because the mean of its divisors is an integer number (6773760).

Almost surely, 2231190932 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 231190932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

231190932 is an abundant number, since it is smaller than the sum of its proper divisors (419090028).

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

231190932 is a wasteful number, since it uses less digits than its factorization.

231190932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 231190932 is about 15204.9640578332. The cubic root of 231190932 is about 613.7482477900.

The spelling of 231190932 in words is "two hundred thirty-one million, one hundred ninety thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 47 62 84 93 94 124 141 186 188 217 282 329 372 434 564 651 658 868 987 1302 1316 1457 1889 1974 2604 2914 3778 3948 4371 5667 5828 7556 8742 10199 11334 13223 17484 20398 22668 26446 30597 39669 40796 52892 58559 61194 79338 88783 117118 122388 158676 175677 177566 234236 266349 351354 355132 409913 532698 621481 702708 819826 1065396 1229739 1242962 1639652 1864443 2459478 2485924 2752273 3728886 4918956 5504546 7457772 8256819 11009092 16513638 19265911 33027276 38531822 57797733 77063644 115595466 231190932