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230796072 = 233213246577
BaseRepresentation
bin11011100000110…
…10101100101000
3121002021122200200
431300122230220
5433040433242
634522432200
75501506563
oct1560325450
9532248620
10230796072
11109307561
1265362660
1338a7a730
142291b4da
15153de04c
hexdc1ab28

230796072 has 48 divisors (see below), whose sum is σ = 673157940. Its totient is φ = 71013888.

The previous prime is 230796061. The next prime is 230796089. The reversal of 230796072 is 270697032.

It can be written as a sum of positive squares in 2 ways, for example, as 230614596 + 181476 = 15186^2 + 426^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122353 + ... + 124224.

Almost surely, 2230796072 is an apocalyptic number.

It is an amenable number.

230796072 is an abundant number, since it is smaller than the sum of its proper divisors (442361868).

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

230796072 is a wasteful number, since it uses less digits than its factorization.

230796072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246602 (or 246595 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 230796072 is about 15191.9739336269. The cubic root of 230796072 is about 613.3986338266.

It can be divided in two parts, 2307960 and 72, that added together give a palindrome (2308032).

The spelling of 230796072 in words is "two hundred thirty million, seven hundred ninety-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 246577 493154 739731 986308 1479462 1972616 2219193 2958924 3205501 4438386 5917848 6411002 8876772 9616503 12822004 17753544 19233006 25644008 28849509 38466012 57699018 76932024 115398036 230796072