Search a number
-
+
231131412 = 223231712917
BaseRepresentation
bin11011100011011…
…00100100010100
3121002220200200200
431301230210110
5433132201122
634533540500
75504404341
oct1561544424
9532820620
10231131412
111095164a6
12654a4730
1338b67265
14229a77c8
15154585ac
hexdc6c914

231131412 has 72 divisors (see below), whose sum is σ = 611799552. Its totient is φ = 73483200.

The previous prime is 231131401. The next prime is 231131413. The reversal of 231131412 is 214131132.

It is a super-2 number, since 2×2311314122 = 106843459226227488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231131413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77778 + ... + 80694.

It is an arithmetic number, because the mean of its divisors is an integer number (8497216).

Almost surely, 2231131412 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 231131412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305899776).

231131412 is an abundant number, since it is smaller than the sum of its proper divisors (380668140).

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

231131412 is a wasteful number, since it uses less digits than its factorization.

231131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3024 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 231131412 is about 15203.0066763124. The cubic root of 231131412 is about 613.6955735339.

Adding to 231131412 its reverse (214131132), we get a palindrome (445262544).

The spelling of 231131412 in words is "two hundred thirty-one million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 93 124 142 186 213 279 284 372 426 558 639 852 1116 1278 2201 2556 2917 4402 5834 6603 8751 8804 11668 13206 17502 19809 26253 26412 35004 39618 52506 79236 90427 105012 180854 207107 271281 361708 414214 542562 621321 813843 828428 1085124 1242642 1627686 1863963 2485284 3255372 3727926 6420317 7455852 12840634 19260951 25681268 38521902 57782853 77043804 115565706 231131412