220145400 has 288 divisors, whose sum is σ = 802292400. Its totient is φ = 53913600.

The previous prime is 220145383. The next prime is 220145503. The reversal of 220145400 is 4541022.

220145400 is a `hidden beast` number, since 220 + 1 + 45 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1402122 + ... + 1402278.

Almost surely, 2^220145400 is an apocalyptic number.

220145400 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 220145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401146200).

220145400 is an abundant number, since it is smaller than the sum of its proper divisors (582147000).

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

220145400 is a wasteful number, since it uses less digits than its factorization.

220145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 220145400 is about 14837.2975976085. The cubic root of 220145400 is about 603.8140371617.

Adding to 220145400 its reverse (4541022), we get a palindrome (224686422).

The spelling of 220145400 in words is "two hundred twenty million, one hundred forty-five thousand, four hundred".