220406722156224 has 784 divisors, whose sum is σ = 719598356136960. Its totient is φ = 66689153280000.

The previous prime is 220406722156217. The next prime is 220406722156249. The reversal of 220406722156224 is 422651227604022.

It is a happy number.

220406722156224 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 0 + 6 + 7 + 2 + 2 + 15 + 622 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 220406722156224.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2775479079 + ... + 2775558489.

Almost surely, 2^{220406722156224} is an apocalyptic number.

220406722156224 is a gapful number since it is divisible by the number (24) 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 220406722156224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359799178068480).

220406722156224 is an abundant number, since it is smaller than the sum of its proper divisors (499191633980736).

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

220406722156224 is a wasteful number, since it uses less digits than its factorization.

220406722156224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79592 (or 79567 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 220406722156224 in words is "two hundred twenty trillion, four hundred six billion, seven hundred twenty-two million, one hundred fifty-six thousand, two hundred twenty-four".