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230699520 = 29325171931
BaseRepresentation
bin11011100000000…
…11001000000000
3121002002202020200
431300003020000
5433024341040
634520405200
75500625232
oct1560031000
9532082220
10230699520
11109250a67
1265316800
1338a457bc
14228d4252
15153c0630
hexdc03200

230699520 has 480 divisors, whose sum is σ = 919226880. Its totient is φ = 53084160.

The previous prime is 230699509. The next prime is 230699527. The reversal of 230699520 is 25996032.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230699527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7441905 + ... + 7441935.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2230699520 is an apocalyptic number.

230699520 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 230699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

230699520 is an abundant number, since it is smaller than the sum of its proper divisors (688527360).

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

230699520 is a wasteful number, since it uses less digits than its factorization.

230699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 230699520 is about 15188.7958706410. The cubic root of 230699520 is about 613.3130848178.

The spelling of 230699520 in words is "two hundred thirty million, six hundred ninety-nine thousand, five hundred twenty".