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232115520 = 26357132657
BaseRepresentation
bin11011101010111…
…00110101000000
3121011202200122010
431311130311000
5433410144040
635011012520
75515643430
oct1565346500
9534680563
10232115520
1110a02890a
126589a140
1339120180
1422b822c0
151559ee80
hexdd5cd40

232115520 has 224 divisors, whose sum is σ = 907377408. Its totient is φ = 48955392.

The previous prime is 232115519. The next prime is 232115531. The reversal of 232115520 is 25511232.

232115520 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2321155202 = 107755229249740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86032 + ... + 88688.

It is an arithmetic number, because the mean of its divisors is an integer number (4050792).

Almost surely, 2232115520 is an apocalyptic number.

232115520 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 232115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453688704).

232115520 is an abundant number, since it is smaller than the sum of its proper divisors (675261888).

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

232115520 is a wasteful number, since it uses less digits than its factorization.

232115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 232115520 is about 15235.3378695715. The cubic root of 232115520 is about 614.5653350074.

Adding to 232115520 its reverse (25511232), we get a palindrome (257626752).

The spelling of 232115520 in words is "two hundred thirty-two million, one hundred fifteen thousand, five hundred twenty".