230199840 has 192 divisors, whose sum is σ = 867888000. Its totient is φ = 56650752.

The previous prime is 230199833. The next prime is 230199859. The reversal of 230199840 is 48991032.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 230199795 and 230199804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54111 + ... + 58209.

It is an arithmetic number, because the mean of its divisors is an integer number (4520250).

Almost surely, 2^230199840 is an apocalyptic number.

230199840 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 230199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433944000).

230199840 is an abundant number, since it is smaller than the sum of its proper divisors (637688160).

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

230199840 is a wasteful number, since it uses less digits than its factorization.

230199840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 230199840 is about 15172.3379872714. The cubic root of 230199840 is about 612.8699661289.

The spelling of 230199840 in words is "two hundred thirty million, one hundred ninety-nine thousand, eight hundred forty".