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230541696 = 273271123113
BaseRepresentation
bin11011011110111…
…00100110000000
3121001210201202100
431233130212000
5433004313241
634513150400
75466400140
oct1557344600
9531721670
10230541696
11109153430
126525b400
13389bba08
1422892920
151538d9b6
hexdbdc980

230541696 has 384 divisors, whose sum is σ = 870704640. Its totient is φ = 56770560.

The previous prime is 230541667. The next prime is 230541739. The reversal of 230541696 is 696145032.

It is a happy number.

230541696 is a `hidden beast` number, since 23 + 0 + 541 + 6 + 96 = 666.

230541696 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 230541696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2040136 + ... + 2040248.

It is an arithmetic number, because the mean of its divisors is an integer number (2267460).

Almost surely, 2230541696 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 230541696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435352320).

230541696 is an abundant number, since it is smaller than the sum of its proper divisors (640162944).

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

230541696 is a wasteful number, since it uses less digits than its factorization.

230541696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 230541696 is about 15183.5995732237. The cubic root of 230541696 is about 613.1731949072.

The spelling of 230541696 in words is "two hundred thirty million, five hundred forty-one thousand, six hundred ninety-six".