220301100 has 144 divisors (see below), whose sum is σ = 714537600. Its totient is φ = 58224960.

The previous prime is 220301093. The next prime is 220301101. The reversal of 220301100 is 1103022.

It is a happy number.

It is a super-2 number, since 2×220301100² = 97065149322420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (220301101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375007 + ... + 375593.

Almost surely, 2^220301100 is an apocalyptic number.

220301100 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 220301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357268800).

220301100 is an abundant number, since it is smaller than the sum of its proper divisors (494236500).

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

220301100 is a wasteful number, since it uses less digits than its factorization.

220301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 220301100 is about 14842.5435825535. The cubic root of 220301100 is about 603.9563547545.

Adding to 220301100 its reverse (1103022), we get a palindrome (221404122).

The spelling of 220301100 in words is "two hundred twenty million, three hundred one thousand, one hundred".