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230011296 = 2532982619
BaseRepresentation
bin11011011010110…
…11000110100000
3121000210210011220
431231123012200
5432340330141
634453535040
75462030604
oct1555330640
9530723156
10230011296
11108920989
1265044480
1338864478
1422795504
15152d6766
hexdb5b1a0

230011296 has 48 divisors (see below), whose sum is σ = 624607200. Its totient is φ = 74025728.

The previous prime is 230011273. The next prime is 230011303. The reversal of 230011296 is 692110032.

230011296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38526 + ... + 44093.

It is an arithmetic number, because the mean of its divisors is an integer number (13012650).

Almost surely, 2230011296 is an apocalyptic number.

It is an amenable number.

230011296 is an abundant number, since it is smaller than the sum of its proper divisors (394595904).

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

230011296 is a wasteful number, since it uses less digits than its factorization.

230011296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82661 (or 82653 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 230011296 is about 15166.1233016219. The cubic root of 230011296 is about 612.7025977575.

The spelling of 230011296 in words is "two hundred thirty million, eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 82619 165238 247857 330476 495714 660952 991428 1321904 1982856 2395951 2643808 3965712 4791902 7187853 7931424 9583804 14375706 19167608 28751412 38335216 57502824 76670432 115005648 230011296