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230316480 = 26335192361
BaseRepresentation
bin11011011101001…
…01100111000000
3121001101021211000
431232211213000
5432430111410
634504252000
75464441422
oct1556454700
9531337730
10230316480
1110900a1a9
1265171000
1338940354
1422834812
1515346dc0
hexdba59c0

230316480 has 448 divisors, whose sum is σ = 907084800. Its totient is φ = 54743040.

The previous prime is 230316473. The next prime is 230316481. The reversal of 230316480 is 84613032.

It is a happy number.

230316480 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230316481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3775650 + ... + 3775710.

Almost surely, 2230316480 is an apocalyptic number.

230316480 is a gapful number since it is divisible by the number (20) 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 230316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453542400).

230316480 is an abundant number, since it is smaller than the sum of its proper divisors (676768320).

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

230316480 is a wasteful number, since it uses less digits than its factorization.

230316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230316480 is about 15176.1813378728. The cubic root of 230316480 is about 612.9734603837.

The spelling of 230316480 in words is "two hundred thirty million, three hundred sixteen thousand, four hundred eighty".