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232040448 = 2113212589
BaseRepresentation
bin11011101010010…
…10100000000000
3121011121212122200
431311022200000
5433400243243
635005233200
75515211523
oct1565124000
9534555580
10232040448
11109a87472
1265862800
13390c4c53
1422b62bba
1515587ad3
hexdd4a800

232040448 has 72 divisors (see below), whose sum is σ = 670228650. Its totient is φ = 77340672.

The previous prime is 232040447. The next prime is 232040453. The reversal of 232040448 is 844040232.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 227165184 + 4875264 = 15072^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (232040441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12138 + ... + 24726.

Almost surely, 2232040448 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 232040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335114325).

232040448 is an abundant number, since it is smaller than the sum of its proper divisors (438188202).

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

232040448 is a wasteful number, since it uses less digits than its factorization.

232040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12617 (or 12594 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 232040448 is about 15232.8739245095. The cubic root of 232040448 is about 614.4990725653.

The spelling of 232040448 in words is "two hundred thirty-two million, forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 12589 18432 25178 37767 50356 75534 100712 113301 151068 201424 226602 302136 402848 453204 604272 805696 906408 1208544 1611392 1812816 2417088 3222784 3625632 4834176 6445568 7251264 9668352 12891136 14502528 19336704 25782272 29005056 38673408 58010112 77346816 116020224 232040448