220232230400 has 480 divisors, whose sum is σ = 681274395648. Its totient is φ = 68692377600.

The previous prime is 220232230381. The next prime is 220232230409. The reversal of 220232230400 is 4032232022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220232230409) 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, 82699469 + ... + 82702131.

Almost surely, 2^220232230400 is an apocalyptic number.

220232230400 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 220232230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340637197824).

220232230400 is an abundant number, since it is smaller than the sum of its proper divisors (461042165248).

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

220232230400 is a wasteful number, since it uses less digits than its factorization.

220232230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 220232230400 its reverse (4032232022), we get a palindrome (224264462422).

The spelling of 220232230400 in words is "two hundred twenty billion, two hundred thirty-two million, two hundred thirty thousand, four hundred".