220265100 has 216 divisors, whose sum is σ = 793490880. Its totient is φ = 50544000.

The previous prime is 220265057. The next prime is 220265159. The reversal of 220265100 is 1562022.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 187515 + ... + 188685.

Almost surely, 2^220265100 is an apocalyptic number.

220265100 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 220265100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396745440).

220265100 is an abundant number, since it is smaller than the sum of its proper divisors (573225780).

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

220265100 is a wasteful number, since it uses less digits than its factorization.

220265100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 220265100 is about 14841.3308028627. The cubic root of 220265100 is about 603.9234549140.

The spelling of 220265100 in words is "two hundred twenty million, two hundred sixty-five thousand, one hundred".