220401600 has 336 divisors, whose sum is σ = 797100768. Its totient is φ = 53084160.

The previous prime is 220401593. The next prime is 220401607. The reversal of 220401600 is 6104022.

It is an interprime number because it is at equal distance from previous prime (220401593) and next prime (220401607).

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 220401600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220401607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3019164 + ... + 3019236.

Almost surely, 2^220401600 is an apocalyptic number.

220401600 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 220401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398550384).

220401600 is an abundant number, since it is smaller than the sum of its proper divisors (576699168).

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

220401600 is a wasteful number, since it uses less digits than its factorization.

220401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

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

The square root of 220401600 is about 14845.9287348418. The cubic root of 220401600 is about 604.0481811776.

Adding to 220401600 its reverse (6104022), we get a palindrome (226505622).

The spelling of 220401600 in words is "two hundred twenty million, four hundred one thousand, six hundred".