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230480640 = 283651319
BaseRepresentation
bin11011011110011…
…01101100000000
3121001200122000000
431233031230000
5433000340030
634512000000
75466024135
oct1557155400
9531618000
10230480640
11109111575
1265230000
1338999ca0
142287858c
151537a860
hexdbcdb00

230480640 has 504 divisors, whose sum is σ = 938318640. Its totient is φ = 53747712.

The previous prime is 230480617. The next prime is 230480651. The reversal of 230480640 is 46084032.

230480640 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 an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12130551 + ... + 12130569.

Almost surely, 2230480640 is an apocalyptic number.

230480640 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 230480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469159320).

230480640 is an abundant number, since it is smaller than the sum of its proper divisors (707838000).

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

230480640 is an equidigital number, since it uses as much as digits as its factorization.

230480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 230480640 is about 15181.5888496560. The cubic root of 230480640 is about 613.1190597859.

It can be divided in two parts, 2304 and 80640, that added together give a square (82944 = 2882).

The spelling of 230480640 in words is "two hundred thirty million, four hundred eighty thousand, six hundred forty".