Search a number
-
+
231552040 = 23523293859
BaseRepresentation
bin11011100110100…
…11010000101000
3121010201001200111
431303103100220
5433234131130
634550544104
75511105556
oct1563232050
9533631614
10231552040
11109783525
1265668034
1338c83855
1422a76bd6
15154dd02a
hexdcd3428

231552040 has 64 divisors (see below), whose sum is σ = 546134400. Its totient is φ = 88188672.

The previous prime is 231552001. The next prime is 231552047. The reversal of 231552040 is 40255132.

It is not an unprimeable number, because it can be changed into a prime (231552047) 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 15 ways as a sum of consecutive naturals, for example, 269131 + ... + 269989.

It is an arithmetic number, because the mean of its divisors is an integer number (8533350).

Almost surely, 2231552040 is an apocalyptic number.

231552040 is a gapful number since it is divisible by the number (20) 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 231552040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273067200).

231552040 is an abundant number, since it is smaller than the sum of its proper divisors (314582360).

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

231552040 is a wasteful number, since it uses less digits than its factorization.

231552040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 231552040 is about 15216.8340991154. The cubic root of 231552040 is about 614.0676289890.

The spelling of 231552040 in words is "two hundred thirty-one million, five hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 293 460 586 859 920 1172 1465 1718 2344 2930 3436 4295 5860 6739 6872 8590 11720 13478 17180 19757 26956 33695 34360 39514 53912 67390 79028 98785 134780 158056 197570 251687 269560 395140 503374 790280 1006748 1258435 2013496 2516870 5033740 5788801 10067480 11577602 23155204 28944005 46310408 57888010 115776020 231552040