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232848640 = 285181913
BaseRepresentation
bin11011110000011…
…11110100000000
3121020010221021201
431320033310000
5434102124030
635034430544
75525116003
oct1570176400
9536127251
10232848640
1110a4896a2
1265b92454
1339318a7b
1422cd353a
15156972ca
hexde0fd00

232848640 has 36 divisors (see below), whose sum is σ = 557748324. Its totient is φ = 93138944.

The previous prime is 232848631. The next prime is 232848641. The reversal of 232848640 is 46848232.

232848640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50922496 + 181926144 = 7136^2 + 13488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232848640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232848641) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 89677 + ... + 92236.

It is an arithmetic number, because the mean of its divisors is an integer number (15493009).

Almost surely, 2232848640 is an apocalyptic number.

232848640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232848640 is an abundant number, since it is smaller than the sum of its proper divisors (324899684).

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

232848640 is an equidigital number, since it uses as much as digits as its factorization.

232848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181934 (or 181920 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 232848640 is about 15259.3787553753. The cubic root of 232848640 is about 615.2116749932.

The spelling of 232848640 in words is "two hundred thirty-two million, eight hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 181913 363826 727652 909565 1455304 1819130 2910608 3638260 5821216 7276520 11642432 14553040 23284864 29106080 46569728 58212160 116424320 232848640