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230816448 = 2632400723
BaseRepresentation
bin11011100000111…
…11101011000000
3121002022200122100
431300133223000
5433042111243
634523110400
75501623152
oct1560375300
9532280570
10230816448
111093208a5
1265372400
1338a86aa5
1422924ad2
15153e50d3
hexdc1fac0

230816448 has 42 divisors (see below), whose sum is σ = 661595324. Its totient is φ = 76938624.

The previous prime is 230816413. The next prime is 230816489. The reversal of 230816448 is 844618032.

230816448 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 1 + 644 + 8 = 666.

230816448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199786 + ... + 200937.

Almost surely, 2230816448 is an apocalyptic number.

It is an amenable number.

230816448 is an abundant number, since it is smaller than the sum of its proper divisors (430778876).

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

230816448 is a wasteful number, since it uses less digits than its factorization.

230816448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400741 (or 400728 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 230816448 is about 15192.6445360905. The cubic root of 230816448 is about 613.4166847444.

The spelling of 230816448 in words is "two hundred thirty million, eight hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 400723 801446 1202169 1602892 2404338 3205784 3606507 4808676 6411568 7213014 9617352 12823136 14426028 19234704 25646272 28852056 38469408 57704112 76938816 115408224 230816448