220613400 has 144 divisors (see below), whose sum is σ = 846783600. Its totient is φ = 50423040.

The previous prime is 220613387. The next prime is 220613443. The reversal of 220613400 is 4316022.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 3846 + ... + 21354.

Almost surely, 2^220613400 is an apocalyptic number.

220613400 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 220613400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423391800).

220613400 is an abundant number, since it is smaller than the sum of its proper divisors (626170200).

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

220613400 is a wasteful number, since it uses less digits than its factorization.

220613400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17538 (or 17526 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220613400 is about 14853.0602907280. The cubic root of 220613400 is about 604.2416105737.

Adding to 220613400 its reverse (4316022), we get a palindrome (224929422).

The spelling of 220613400 in words is "two hundred twenty million, six hundred thirteen thousand, four hundred".