220061400 has 192 divisors, whose sum is σ = 745264800. Its totient is φ = 53391360.

The previous prime is 220061399. The next prime is 220061419. The reversal of 220061400 is 4160022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220061400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694042 + ... + 694358.

Almost surely, 2^220061400 is an apocalyptic number.

220061400 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 220061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372632400).

220061400 is an abundant number, since it is smaller than the sum of its proper divisors (525203400).

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

220061400 is a wasteful number, since it uses less digits than its factorization.

220061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 220061400 is about 14834.4666233741. The cubic root of 220061400 is about 603.7372290892.

The spelling of 220061400 in words is "two hundred twenty million, sixty-one thousand, four hundred".