230166144 has 256 divisors, whose sum is σ = 753984000. Its totient is φ = 68677632.

The previous prime is 230166137. The next prime is 230166187. The reversal of 230166144 is 441661032.

230166144 is a `hidden beast` number, since 2 + 30 + 16 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2111562 + ... + 2111670.

It is an arithmetic number, because the mean of its divisors is an integer number (2945250).

Almost surely, 2^230166144 is an apocalyptic number.

230166144 is a gapful number since it is divisible by the number (24) 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 230166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376992000).

230166144 is an abundant number, since it is smaller than the sum of its proper divisors (523817856).

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

230166144 is a wasteful number, since it uses less digits than its factorization.

230166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

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

The square root of 230166144 is about 15171.2275047209. The cubic root of 230166144 is about 612.8400612803.

The spelling of 230166144 in words is "two hundred thirty million, one hundred sixty-six thousand, one hundred forty-four".