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232303296 = 2635920507
BaseRepresentation
bin11011101100010…
…10101011000000
3121012010020012210
431312022223000
5433432201141
635015022120
75520355041
oct1566125300
9535106183
10232303296
1110a1469a5
126596a940
1339187794
1422bd08c8
15155da916
hexdd8aac0

232303296 has 56 divisors (see below), whose sum is σ = 625083840. Its totient is φ = 76118272.

The previous prime is 232303273. The next prime is 232303361. The reversal of 232303296 is 692303232.

It is an alternating number because its digits alternate between even and odd.

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 7 ways as a sum of consecutive naturals, for example, 1075 + ... + 21581.

Almost surely, 2232303296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232303296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312541920).

232303296 is an abundant number, since it is smaller than the sum of its proper divisors (392780544).

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

232303296 is a wasteful number, since it uses less digits than its factorization.

232303296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20581 (or 20571 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 232303296 is about 15241.4991388643. The cubic root of 232303296 is about 614.7310133092.

The spelling of 232303296 in words is "two hundred thirty-two million, three hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 11328 20507 41014 61521 82028 123042 164056 246084 328112 492168 656224 984336 1209913 1312448 1968672 2419826 3629739 3937344 4839652 7259478 9679304 14518956 19358608 29037912 38717216 58075824 77434432 116151648 232303296