220333100 has 72 divisors (see below), whose sum is σ = 537361440. Its totient is φ = 77806080.

The previous prime is 220333079. The next prime is 220333103. The reversal of 220333100 is 1333022.

It is a super-2 number, since 2×220333100² = 97093349911220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220333103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26216 + ... + 33584.

Almost surely, 2^220333100 is an apocalyptic number.

220333100 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 220333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268680720).

220333100 is an abundant number, since it is smaller than the sum of its proper divisors (317028340).

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

220333100 is a wasteful number, since it uses less digits than its factorization.

220333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 220333100 is about 14843.6215257598. The cubic root of 220333100 is about 603.9855960485.

Adding to 220333100 its reverse (1333022), we get a palindrome (221666122).

The spelling of 220333100 in words is "two hundred twenty million, three hundred thirty-three thousand, one hundred".