220114240 has 112 divisors (see below), whose sum is σ = 565830720. Its totient is φ = 81285120.

The previous prime is 220114211. The next prime is 220114253. The reversal of 220114240 is 42411022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 248839 + ... + 249721.

It is an arithmetic number, because the mean of its divisors is an integer number (5052060).

Almost surely, 2^220114240 is an apocalyptic number.

220114240 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 220114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282915360).

220114240 is an abundant number, since it is smaller than the sum of its proper divisors (345716480).

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

220114240 is a wasteful number, since it uses less digits than its factorization.

220114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 220114240 is about 14836.2475040018. The cubic root of 220114240 is about 603.7855473043.

Adding to 220114240 its reverse (42411022), we get a palindrome (262525262).

The spelling of 220114240 in words is "two hundred twenty million, one hundred fourteen thousand, two hundred forty".