220127400 has 144 divisors (see below), whose sum is σ = 764934300. Its totient is φ = 56663040.

The previous prime is 220127399. The next prime is 220127423. The reversal of 220127400 is 4721022.

It can be written as a sum of positive squares in 6 ways, for example, as 130370724 + 89756676 = 11418^2 + 9474^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50092 + ... + 54308.

Almost surely, 2^220127400 is an apocalyptic number.

220127400 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 220127400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382467150).

220127400 is an abundant number, since it is smaller than the sum of its proper divisors (544806900).

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

220127400 is a wasteful number, since it uses less digits than its factorization.

220127400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 220127400 is about 14836.6910057465. The cubic root of 220127400 is about 603.7975799340.

Adding to 220127400 its reverse (4721022), we get a palindrome (224848422).

The spelling of 220127400 in words is "two hundred twenty million, one hundred twenty-seven thousand, four hundred".