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230023872 = 263213217139
BaseRepresentation
bin11011011010111…
…10001011000000
3121000211102102200
431231132023000
5432341230442
634454113200
75462112351
oct1555361300
9530742380
10230023872
1110892a381
126504b800
133886a100
1422799d28
15152da34c
hexdb5e2c0

230023872 has 252 divisors, whose sum is σ = 761375160. Its totient is φ = 66134016.

The previous prime is 230023837. The next prime is 230023873. The reversal of 230023872 is 278320032.

230023872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230023873) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1654779 + ... + 1654917.

It is an arithmetic number, because the mean of its divisors is an integer number (3021330).

Almost surely, 2230023872 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 230023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380687580).

230023872 is an abundant number, since it is smaller than the sum of its proper divisors (531351288).

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

230023872 is a wasteful number, since it uses less digits than its factorization.

230023872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 230023872 is about 15166.5379042153. The cubic root of 230023872 is about 612.7137641764.

The spelling of 230023872 in words is "two hundred thirty million, twenty-three thousand, eight hundred seventy-two".