220355100 has 288 divisors, whose sum is σ = 824947200. Its totient is φ = 49420800.

The previous prime is 220355089. The next prime is 220355101. The reversal of 220355100 is 1553022.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220355101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1682035 + ... + 1682165.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2^220355100 is an apocalyptic number.

220355100 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 220355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

220355100 is an abundant number, since it is smaller than the sum of its proper divisors (604592100).

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

220355100 is a wasteful number, since it uses less digits than its factorization.

220355100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 220355100 is about 14844.3625663078. The cubic root of 220355100 is about 604.0056977958.

The spelling of 220355100 in words is "two hundred twenty million, three hundred fifty-five thousand, one hundred".