220253600 has 144 divisors (see below), whose sum is σ = 631709568. Its totient is φ = 73405440.

The previous prime is 220253591. The next prime is 220253603. The reversal of 220253600 is 6352022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (220253603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206669 + ... + 207731.

It is an arithmetic number, because the mean of its divisors is an integer number (4386872).

Almost surely, 2^220253600 is an apocalyptic number.

220253600 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 220253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315854784).

220253600 is an abundant number, since it is smaller than the sum of its proper divisors (411455968).

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

220253600 is a wasteful number, since it uses less digits than its factorization.

220253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 220253600 is about 14840.9433662419. The cubic root of 220253600 is about 603.9129444872.

The spelling of 220253600 in words is "two hundred twenty million, two hundred fifty-three thousand, six hundred".