220100400 has 180 divisors, whose sum is σ = 822739008. Its totient is φ = 54167040.

The previous prime is 220100393. The next prime is 220100407. The reversal of 220100400 is 4001022.

It is an interprime number because it is at equal distance from previous prime (220100393) and next prime (220100407).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44449 + ... + 49151.

Almost surely, 2^220100400 is an apocalyptic number.

220100400 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 220100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411369504).

220100400 is an abundant number, since it is smaller than the sum of its proper divisors (602638608).

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

220100400 is a wasteful number, since it uses less digits than its factorization.

220100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220100400 is about 14835.7810714502. The cubic root of 220100400 is about 603.7728924103.

Adding to 220100400 its reverse (4001022), we get a palindrome (224101422).

The spelling of 220100400 in words is "two hundred twenty million, one hundred thousand, four hundred".