220155936 has 384 divisors, whose sum is σ = 812851200. Its totient is φ = 50319360.

The previous prime is 220155853. The next prime is 220155973. The reversal of 220155936 is 639551022.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 220155897 and 220155906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2786745 + ... + 2786823.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^220155936 is an apocalyptic number.

220155936 is a gapful number since it is divisible by the number (26) 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 220155936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406425600).

220155936 is an abundant number, since it is smaller than the sum of its proper divisors (592695264).

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

220155936 is a wasteful number, since it uses less digits than its factorization.

220155936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 220155936 is about 14837.6526445392. The cubic root of 220155936 is about 603.8236697094.

The spelling of 220155936 in words is "two hundred twenty million, one hundred fifty-five thousand, nine hundred thirty-six".