230022374400 has 2640 divisors, whose sum is σ = 1114520166144. Its totient is φ = 45546209280.

The previous prime is 230022374369. The next prime is 230022374401. The reversal of 230022374400 is 4473220032.

230022374400 is a `hidden beast` number, since 2 + 30 + 0 + 223 + 7 + 4 + 400 = 666.

It is a super-2 number, since 2×230022374400² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (230022374401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4340044774 + ... + 4340044826.

Almost surely, 2^230022374400 is an apocalyptic number.

230022374400 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 230022374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557260083072).

230022374400 is an abundant number, since it is smaller than the sum of its proper divisors (884497791744).

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

230022374400 is a wasteful number, since it uses less digits than its factorization.

230022374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

Adding to 230022374400 its reverse (4473220032), we get a palindrome (234495594432).

The spelling of 230022374400 in words is "two hundred thirty billion, twenty-two million, three hundred seventy-four thousand, four hundred".