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230132896 = 2573727767
BaseRepresentation
bin11011011011110…
…00110010100000
3121001000221222121
431231320302200
5432403223041
634500314024
75463045250
oct1555706240
9531027877
10230132896
111089a4284
12650a2914
13388a7916
14227c7960
151530c7d1
hexdb78ca0

230132896 has 48 divisors (see below), whose sum is σ = 531812736. Its totient is φ = 95959296.

The previous prime is 230132891. The next prime is 230132911. The reversal of 230132896 is 698231032.

It is a happy number.

230132896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2301328962 = 105922299642693632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230132891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5596 + ... + 22171.

It is an arithmetic number, because the mean of its divisors is an integer number (11079432).

Almost surely, 2230132896 is an apocalyptic number.

It is an amenable number.

230132896 is an abundant number, since it is smaller than the sum of its proper divisors (301679840).

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

230132896 is a wasteful number, since it uses less digits than its factorization.

230132896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27821 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 230132896 is about 15170.1317067453. The cubic root of 230132896 is about 612.8105511662.

The spelling of 230132896 in words is "two hundred thirty million, one hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 8288 27767 55534 111068 194369 222136 388738 444272 777476 888544 1027379 1554952 2054758 3109904 4109516 6219808 7191653 8219032 14383306 16438064 28766612 32876128 57533224 115066448 230132896