220234144 has 48 divisors (see below), whose sum is σ = 468236160. Its totient is φ = 101364480.

The previous prime is 220234123. The next prime is 220234153. The reversal of 220234144 is 441432022.

220234144 = 247² + 248² + ... + 877².

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262077 + ... + 262915.

It is an arithmetic number, because the mean of its divisors is an integer number (9754920).

Almost surely, 2^220234144 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 220234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234118080).

220234144 is an abundant number, since it is smaller than the sum of its proper divisors (248002016).

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

220234144 is a wasteful number, since it uses less digits than its factorization.

220234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 220234144 is about 14840.2878678279. The cubic root of 220234144 is about 603.8951618399.

Adding to 220234144 its reverse (441432022), we get a palindrome (661666166).

The spelling of 220234144 in words is "two hundred twenty million, two hundred thirty-four thousand, one hundred forty-four".