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230082048 = 2932721019
BaseRepresentation
bin11011011011011…
…00011000000000
3121000221101020100
431231230120000
5432400111143
634455242400
75462444100
oct1555543000
9530841210
10230082048
1110896a059
1265079400
133888a731
14227b3200
15152ec6d3
hexdb6c600

230082048 has 180 divisors, whose sum is σ = 773203860. Its totient is φ = 65673216.

The previous prime is 230082019. The next prime is 230082053. The reversal of 230082048 is 840280032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225283 + ... + 226301.

It is an arithmetic number, because the mean of its divisors is an integer number (4295577).

Almost surely, 2230082048 is an apocalyptic number.

230082048 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 230082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386601930).

230082048 is an abundant number, since it is smaller than the sum of its proper divisors (543121812).

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

230082048 is a wasteful number, since it uses less digits than its factorization.

230082048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 230082048 is about 15168.4556893574. The cubic root of 230082048 is about 612.7654142233.

It can be divided in two parts, 2300 and 82048, that added together give a palindrome (84348).

The spelling of 230082048 in words is "two hundred thirty million, eighty-two thousand, forty-eight".