230144222243232 has 288 divisors, whose sum is σ = 722193236331840. Its totient is φ = 68941748367360.

The previous prime is 230144222243231. The next prime is 230144222243233. The reversal of 230144222243232 is 232342222441032.

230144222243232 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 4 + 422 + 224 + 3 + 2 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (230144222243231) and next prime (230144222243233).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (230144222243231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101480478 + ... + 103723554.

It is an arithmetic number, because the mean of its divisors is an integer number (2507615403930).

Almost surely, 2^{230144222243232} is an apocalyptic number.

230144222243232 is a gapful number since it is divisible by the number (22) 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 230144222243232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361096618165920).

230144222243232 is an abundant number, since it is smaller than the sum of its proper divisors (492049014088608).

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

230144222243232 is a wasteful number, since it uses less digits than its factorization.

230144222243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243476 (or 2243465 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 230144222243232 its reverse (232342222441032), we get a palindrome (462486444684264).

The spelling of 230144222243232 in words is "two hundred thirty trillion, one hundred forty-four billion, two hundred twenty-two million, two hundred forty-three thousand, two hundred thirty-two".