Search a number
-
+
231299136 = 26323710853
BaseRepresentation
bin11011100100101…
…01100001000000
3121010020012202200
431302111201000
5433203033021
634541313200
75506003335
oct1562254100
9533205680
10231299136
11109620512
1265565800
1338bc56c3
1422a0c98c
151548d126
hexdc95840

231299136 has 84 divisors (see below), whose sum is σ = 680958252. Its totient is φ = 75009024.

The previous prime is 231299111. The next prime is 231299143. The reversal of 231299136 is 631992132.

It is a happy number.

231299136 is a `hidden beast` number, since 231 + 299 + 136 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170459136 + 60840000 = 13056^2 + 7800^2 .

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 231299136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15886 + ... + 26738.

Almost surely, 2231299136 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 231299136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340479126).

231299136 is an abundant number, since it is smaller than the sum of its proper divisors (449659116).

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

231299136 is a wasteful number, since it uses less digits than its factorization.

231299136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908 (or 10895 counting only the distinct ones).

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

The square root of 231299136 is about 15208.5218216630. The cubic root of 231299136 is about 613.8439834617.

The spelling of 231299136 in words is "two hundred thirty-one million, two hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 10853 21312 21706 32559 43412 65118 86824 97677 130236 173648 195354 260472 347296 390708 401561 520944 694592 781416 803122 1041888 1204683 1562832 1606244 2083776 2409366 3125664 3212488 3614049 4818732 6251328 6424976 7228098 9637464 12849952 14456196 19274928 25699904 28912392 38549856 57824784 77099712 115649568 231299136