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230485248 = 2832731461
BaseRepresentation
bin11011011110011…
…10110100000000
3121001200212022200
431233032310000
5433001011443
634512033200
75466043440
oct1557166400
9531625280
10230485248
11109114a84
1265232800
133899c106
142287a120
151537bdd3
hexdbced00

230485248 has 216 divisors, whose sum is σ = 785680896. Its totient is φ = 63590400.

The previous prime is 230485207. The next prime is 230485249. The reversal of 230485248 is 842584032.

230485248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230485249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499738 + ... + 500198.

Almost surely, 2230485248 is an apocalyptic number.

230485248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230485248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392840448).

230485248 is an abundant number, since it is smaller than the sum of its proper divisors (555195648).

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

230485248 is a wasteful number, since it uses less digits than its factorization.

230485248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 230485248 is about 15181.7406116690. The cubic root of 230485248 is about 613.1231457890.

The spelling of 230485248 in words is "two hundred thirty million, four hundred eighty-five thousand, two hundred forty-eight".