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232130560 = 211522669
BaseRepresentation
bin11011101011000…
…00100000000000
3121011210110021011
431311200200000
5433411134220
635011210304
75516035324
oct1565404000
9534713234
10232130560
1110a039142
12658a6994
1339126c7c
1422b87984
15155a465a
hexdd60800

232130560 has 48 divisors (see below), whose sum is σ = 557001900. Its totient is φ = 92848128.

The previous prime is 232130551. The next prime is 232130567. The reversal of 232130560 is 65031232.

It can be written as a sum of positive squares in 2 ways, for example, as 219513856 + 12616704 = 14816^2 + 3552^2 .

It is not an unprimeable number, because it can be changed into a prime (232130567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1095 + ... + 21574.

Almost surely, 2232130560 is an apocalyptic number.

232130560 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 232130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278500950).

232130560 is an abundant number, since it is smaller than the sum of its proper divisors (324871340).

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

232130560 is an equidigital number, since it uses as much as digits as its factorization.

232130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22696 (or 22676 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 232130560 is about 15235.8314508923. The cubic root of 232130560 is about 614.5786083738.

Adding to 232130560 its reverse (65031232), we get a palindrome (297161792).

The spelling of 232130560 in words is "two hundred thirty-two million, one hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 22669 45338 90676 113345 181352 226690 362704 453380 725408 906760 1450816 1813520 2901632 3627040 5803264 7254080 11606528 14508160 23213056 29016320 46426112 58032640 116065280 232130560