220231872 has 378 divisors, whose sum is σ = 808943772. Its totient is φ = 59222016.

The previous prime is 220231871. The next prime is 220231909. The reversal of 220231872 is 278132022.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (378).

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 (220231871) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12954808 + ... + 12954824.

Almost surely, 2^220231872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404471886).

220231872 is an abundant number, since it is smaller than the sum of its proper divisors (588711900).

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

220231872 is an equidigital number, since it uses as much as digits as its factorization.

220231872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 220231872 is about 14840.2113192501. The cubic root of 220231872 is about 603.8930851796.

Multiplying 220231872 by its sum of digits (27), we get a square (5946260544 = 77112²).

220231872 divided by its sum of digits (27) gives a square (8156736 = 2856²).

Adding to 220231872 its reverse (278132022), we get a palindrome (498363894).

The spelling of 220231872 in words is "two hundred twenty million, two hundred thirty-one thousand, eight hundred seventy-two".