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232513000 = 2353232513
BaseRepresentation
bin11011101101111…
…01110111101000
3121012111212212121
431312331313220
5434010404000
635023321024
75522220316
oct1566756750
9535455777
10232513000
1110a27a505
1265a50174
133922c075
1422c470b6
151562cb1a
hexddbdde8

232513000 has 32 divisors (see below), whose sum is σ = 544082760. Its totient is φ = 93004800.

The previous prime is 232512991. The next prime is 232513019. The reversal of 232513000 is 315232.

It can be written as a sum of positive squares in 4 ways, for example, as 35784324 + 196728676 = 5982^2 + 14026^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115257 + ... + 117256.

Almost surely, 2232513000 is an apocalyptic number.

232513000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232513000 is an abundant number, since it is smaller than the sum of its proper divisors (311569760).

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

232513000 is a wasteful number, since it uses less digits than its factorization.

232513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232534 (or 232520 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 232513000 is about 15248.3769628115. The cubic root of 232513000 is about 614.9159336036.

Adding to 232513000 its reverse (315232), we get a palindrome (232828232).

The spelling of 232513000 in words is "two hundred thirty-two million, five hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 232513 465026 930052 1162565 1860104 2325130 4650260 5812825 9300520 11625650 23251300 29064125 46502600 58128250 116256500 232513000