Search a number
-
+
232046560 = 2557319867
BaseRepresentation
bin11011101010010…
…11111111100000
3121011122012001001
431311023333200
5433400442220
635005321344
75515235404
oct1565137740
9534565031
10232046560
11109a91019
1265866254
13390c7975
1422b65104
151558980a
hexdd4bfe0

232046560 has 48 divisors (see below), whose sum is σ = 555747696. Its totient is φ = 91542528.

The previous prime is 232046509. The next prime is 232046597. The reversal of 232046560 is 65640232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1747 + ... + 21613.

It is an arithmetic number, because the mean of its divisors is an integer number (11578077).

Almost surely, 2232046560 is an apocalyptic number.

232046560 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 232046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277873848).

232046560 is an abundant number, since it is smaller than the sum of its proper divisors (323701136).

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

232046560 is a wasteful number, since it uses less digits than its factorization.

232046560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19955 (or 19947 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 232046560 is about 15233.0745419301. The cubic root of 232046560 is about 614.5044678679.

Adding to 232046560 its reverse (65640232), we get a palindrome (297686792).

The spelling of 232046560 in words is "two hundred thirty-two million, forty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 19867 39734 79468 99335 158936 198670 317872 397340 635744 794680 1450291 1589360 2900582 3178720 5801164 7251455 11602328 14502910 23204656 29005820 46409312 58011640 116023280 232046560