220235400 has 432 divisors, whose sum is σ = 942729840. Its totient is φ = 45561600.

The previous prime is 220235387. The next prime is 220235413. The reversal of 220235400 is 4532022.

220235400 = 2096² + 2097² + ... + 2144².

It is an interprime number because it is at equal distance from previous prime (220235387) and next prime (220235413).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 970087 + ... + 970313.

It is an arithmetic number, because the mean of its divisors is an integer number (2182245).

Almost surely, 2^220235400 is an apocalyptic number.

220235400 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 220235400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471364920).

220235400 is an abundant number, since it is smaller than the sum of its proper divisors (722494440).

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

220235400 is a wasteful number, since it uses less digits than its factorization.

220235400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 220235400 is about 14840.3301850060. The cubic root of 220235400 is about 603.8963098467.

Adding to 220235400 its reverse (4532022), we get a palindrome (224767422).

The spelling of 220235400 in words is "two hundred twenty million, two hundred thirty-five thousand, four hundred".