220252416 has 144 divisors (see below), whose sum is σ = 630075264. Its totient is φ = 68124672.

The previous prime is 220252381. The next prime is 220252421. The reversal of 220252416 is 614252022.

It is a happy number.

It is a super-2 number, since 2×220252416² = 97022253507674112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653400 + ... + 653736.

Almost surely, 2^220252416 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 220252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315037632).

220252416 is an abundant number, since it is smaller than the sum of its proper divisors (409822848).

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

220252416 is a wasteful number, since it uses less digits than its factorization.

220252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 220252416 is about 14840.9034765408. The cubic root of 220252416 is about 603.9118623494.

The spelling of 220252416 in words is "two hundred twenty million, two hundred fifty-two thousand, four hundred sixteen".