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230547328 = 2711163741
BaseRepresentation
bin11011011110111…
…01111110000000
3121001211000110221
431233131332000
5433010003303
634513232424
75466422434
oct1557357600
9531730427
10230547328
11109157690
1265262714
13389c144b
14228949c4
15153904bd
hexdbddf80

230547328 has 32 divisors (see below), whose sum is σ = 501050520. Its totient is φ = 104793600.

The previous prime is 230547323. The next prime is 230547337. The reversal of 230547328 is 823745032.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 230547293 and 230547302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230547323) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 80463 + ... + 83278.

Almost surely, 2230547328 is an apocalyptic number.

It is an amenable number.

230547328 is an abundant number, since it is smaller than the sum of its proper divisors (270503192).

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

230547328 is a wasteful number, since it uses less digits than its factorization.

230547328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163766 (or 163754 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 230547328 is about 15183.7850353593. The cubic root of 230547328 is about 613.1781880218.

The spelling of 230547328 in words is "two hundred thirty million, five hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 163741 327482 654964 1309928 1801151 2619856 3602302 5239712 7204604 10479424 14409208 20958848 28818416 57636832 115273664 230547328