220770144 has 192 divisors, whose sum is σ = 743662080. Its totient is φ = 62415360.

The previous prime is 220770133. The next prime is 220770197. The reversal of 220770144 is 441077022.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046199 + ... + 1046409.

It is an arithmetic number, because the mean of its divisors is an integer number (3873240).

Almost surely, 2^220770144 is an apocalyptic number.

220770144 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 220770144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371831040).

220770144 is an abundant number, since it is smaller than the sum of its proper divisors (522891936).

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

220770144 is a wasteful number, since it uses less digits than its factorization.

220770144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 220770144 is about 14858.3358422133. The cubic root of 220770144 is about 604.3846795885.

The spelling of 220770144 in words is "two hundred twenty million, seven hundred seventy thousand, one hundred forty-four".