230214144400 has 60 divisors (see below), whose sum is σ = 553678154964. Its totient is φ = 91987648000.

The previous prime is 230214144397. The next prime is 230214144463. The reversal of 230214144400 is 4441412032.

It can be written as a sum of positive squares in 6 ways, for example, as 7490556304 + 222723588096 = 86548^2 + 471936^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70590 + ... + 682210.

Almost surely, 2^230214144400 is an apocalyptic number.

230214144400 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 230214144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276839077482).

230214144400 is an abundant number, since it is smaller than the sum of its proper divisors (323464010564).

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

230214144400 is a wasteful number, since it uses less digits than its factorization.

230214144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612580 (or 612569 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 230214144400 its reverse (4441412032), we get a palindrome (234655556432).

The spelling of 230214144400 in words is "two hundred thirty billion, two hundred fourteen million, one hundred forty-four thousand, four hundred".