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230249984 = 291273541
BaseRepresentation
bin11011011100101…
…01011000000000
3121001020220121012
431232111120000
5432420444414
634503020052
75464043516
oct1556253000
9531226535
10230249984
11108a74248
126513a628
1338918cc3
14228184b6
151533233e
hexdb95600

230249984 has 40 divisors (see below), whose sum is σ = 463803648. Its totient is φ = 114186240.

The previous prime is 230249977. The next prime is 230250017. The reversal of 230249984 is 489942032.

230249984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63254 + ... + 66794.

Almost surely, 2230249984 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 230249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231901824).

230249984 is an abundant number, since it is smaller than the sum of its proper divisors (233553664).

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

230249984 is an equidigital number, since it uses as much as digits as its factorization.

230249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 230249984 is about 15173.9903782756. The cubic root of 230249984 is about 612.9144630038.

The spelling of 230249984 in words is "two hundred thirty million, two hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 2032 3541 4064 7082 8128 14164 16256 28328 32512 56656 65024 113312 226624 449707 453248 899414 906496 1798828 1812992 3597656 7195312 14390624 28781248 57562496 115124992 230249984