220155840 has 224 divisors, whose sum is σ = 788578560. Its totient is φ = 57811968.

The previous prime is 220155823. The next prime is 220155841. The reversal of 220155840 is 48551022.

It is a happy number.

It is a super-2 number, since 2×220155840² = 96937187772211200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220155841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716967 + ... + 717273.

It is an arithmetic number, because the mean of its divisors is an integer number (3520440).

Almost surely, 2^220155840 is an apocalyptic number.

220155840 is a gapful number since it is divisible by the number (20) 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 220155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394289280).

220155840 is an abundant number, since it is smaller than the sum of its proper divisors (568422720).

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

220155840 is a wasteful number, since it uses less digits than its factorization.

220155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 220155840 is about 14837.6494095258. The cubic root of 220155840 is about 603.8235819427.

The spelling of 220155840 in words is "two hundred twenty million, one hundred fifty-five thousand, eight hundred forty".