Search a number
-
+
231413994 = 232723471699
BaseRepresentation
bin11011100101100…
…01100011101010
3121010110001022200
431302301203222
5433220221434
634544001030
75506662240
oct1562614352
9533401280
10231413994
11109699839
1265600176
1338c35a76
1422a3c790
15154b2199
hexdcb18ea

231413994 has 96 divisors (see below), whose sum is σ = 611020800. Its totient is φ = 61861536.

The previous prime is 231413983. The next prime is 231413999. The reversal of 231413994 is 499314132.

231413994 is a `hidden beast` number, since 231 + 413 + 9 + 9 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (231413999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135357 + ... + 137055.

It is an arithmetic number, because the mean of its divisors is an integer number (6364800).

Almost surely, 2231413994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231413994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305510400).

231413994 is an abundant number, since it is smaller than the sum of its proper divisors (379606806).

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

231413994 is a wasteful number, since it uses less digits than its factorization.

231413994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1781 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 231413994 is about 15212.2974596213. The cubic root of 231413994 is about 613.9455737318.

The spelling of 231413994 in words is "two hundred thirty-one million, four hundred thirteen thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 47 63 69 94 126 138 141 161 207 282 322 329 414 423 483 658 846 966 987 1081 1449 1699 1974 2162 2898 2961 3243 3398 5097 5922 6486 7567 9729 10194 11893 15134 15291 19458 22701 23786 30582 35679 39077 45402 68103 71358 78154 79853 107037 117231 136206 159706 214074 234462 239559 273539 351693 479118 547078 558971 703386 718677 820617 1117942 1437354 1641234 1676913 1836619 2461851 3353826 3673238 4923702 5030739 5509857 10061478 11019714 12856333 16529571 25712666 33059142 38568999 77137998 115706997 231413994