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230553072 = 24324213803
BaseRepresentation
bin11011011110111…
…11010111110000
3121001211022100200
431233133113300
5433010144242
634513315200
75466445251
oct1557372760
9531738320
10230553072
11109160a32
1265265b00
13389c3c49
1422896b28
151539204c
hexdbdf5f0

230553072 has 60 divisors (see below), whose sum is σ = 646931064. Its totient is φ = 76648320.

The previous prime is 230553041. The next prime is 230553073. The reversal of 230553072 is 270355032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230553073) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 58723 + ... + 62525.

Almost surely, 2230553072 is an apocalyptic number.

It is an amenable number.

230553072 is an abundant number, since it is smaller than the sum of its proper divisors (416377992).

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

230553072 is a wasteful number, since it uses less digits than its factorization.

230553072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 230553072 is about 15183.9741833289. The cubic root of 230553072 is about 613.1832803475.

The spelling of 230553072 in words is "two hundred thirty million, five hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 421 842 1263 1684 2526 3368 3789 3803 5052 6736 7578 7606 10104 11409 15156 15212 20208 22818 30312 30424 34227 45636 60624 60848 68454 91272 136908 182544 273816 547632 1601063 3202126 4803189 6404252 9606378 12808504 14409567 19212756 25617008 28819134 38425512 57638268 76851024 115276536 230553072