220213140 has 96 divisors (see below), whose sum is σ = 707180544. Its totient is φ = 50156160.

The previous prime is 220213117. The next prime is 220213141. The reversal of 220213140 is 41312022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220213141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144985 + ... + 146495.

It is an arithmetic number, because the mean of its divisors is an integer number (7366464).

Almost surely, 2^220213140 is an apocalyptic number.

220213140 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 220213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353590272).

220213140 is an abundant number, since it is smaller than the sum of its proper divisors (486967404).

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

220213140 is a wasteful number, since it uses less digits than its factorization.

220213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1875 counting only the distinct ones).

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

The square root of 220213140 is about 14839.5801827410. The cubic root of 220213140 is about 603.8759631559.

Adding to 220213140 its reverse (41312022), we get a palindrome (261525162).

The spelling of 220213140 in words is "two hundred twenty million, two hundred thirteen thousand, one hundred forty".