220414140 has 72 divisors (see below), whose sum is σ = 669898320. Its totient is φ = 58662144.

The previous prime is 220414109. The next prime is 220414141. The reversal of 220414140 is 41414022.

It is a super-2 number, since 2×220414140² = 97164786223879200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220414141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132192 + ... + 133848.

Almost surely, 2^220414140 is an apocalyptic number.

220414140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220414140 is an abundant number, since it is smaller than the sum of its proper divisors (449484180).

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

220414140 is a wasteful number, since it uses less digits than its factorization.

220414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 220414140 is about 14846.3510668447. The cubic root of 220414140 is about 604.0596369634.

Adding to 220414140 its reverse (41414022), we get a palindrome (261828162).

The spelling of 220414140 in words is "two hundred twenty million, four hundred fourteen thousand, one hundred forty".