Search a number
-
+
231319296 = 2832137723
BaseRepresentation
bin11011100100110…
…10011100000000
3121010021020102100
431302122130000
5433204204141
634541550400
75506116165
oct1562323400
9533236370
10231319296
1110963467a
1265575400
1338c01930
1422a1606c
15154940b6
hexdc9a700

231319296 has 108 divisors (see below), whose sum is σ = 718347448. Its totient is φ = 71165952.

The previous prime is 231319279. The next prime is 231319313. The reversal of 231319296 is 692913132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231319279) and next prime (231319313).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 231319296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26091 + ... + 33813.

Almost surely, 2231319296 is an apocalyptic number.

231319296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359173724).

231319296 is an abundant number, since it is smaller than the sum of its proper divisors (487028152).

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

231319296 is a wasteful number, since it uses less digits than its factorization.

231319296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7758 (or 7741 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 231319296 is about 15209.1845935277. The cubic root of 231319296 is about 613.8618171285.

It can be divided in two parts, 2313 and 19296, that added together give a square (21609 = 1472).

The spelling of 231319296 in words is "two hundred thirty-one million, three hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 7723 9984 14976 15446 23169 29952 30892 46338 61784 69507 92676 100399 123568 139014 185352 200798 247136 278028 301197 370704 401596 494272 556056 602394 741408 803192 903591 988544 1112112 1204788 1482816 1606384 1807182 1977088 2224224 2409576 2965632 3212768 3614364 4448448 4819152 5931264 6425536 7228728 8896896 9638304 12851072 14457456 17793792 19276608 25702144 28914912 38553216 57829824 77106432 115659648 231319296