Search a number
-
+
231826824 = 233217189401
BaseRepresentation
bin11011101000101…
…10010110001000
3121011020000121200
431310112112020
5433321424244
635000504200
75513331645
oct1564262610
9534200550
10231826824
11109950a19
126577b060
133904b948
1422b08dcc
1515544669
hexdd16588

231826824 has 48 divisors (see below), whose sum is σ = 664801020. Its totient is φ = 72729600.

The previous prime is 231826811. The next prime is 231826849. The reversal of 231826824 is 428628132.

It can be written as a sum of positive squares in 2 ways, for example, as 229522500 + 2304324 = 15150^2 + 1518^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 93477 + ... + 95924.

Almost surely, 2231826824 is an apocalyptic number.

231826824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231826824 is an abundant number, since it is smaller than the sum of its proper divisors (432974196).

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

231826824 is a wasteful number, since it uses less digits than its factorization.

231826824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189430 (or 189423 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 231826824 is about 15225.8603697788. The cubic root of 231826824 is about 614.3104387071.

The spelling of 231826824 in words is "two hundred thirty-one million, eight hundred twenty-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 189401 378802 568203 757604 1136406 1515208 1704609 2272812 3219817 3409218 4545624 6439634 6818436 9659451 12879268 13636872 19318902 25758536 28978353 38637804 57956706 77275608 115913412 231826824