220214640 has 80 divisors (see below), whose sum is σ = 684206208. Its totient is φ = 58591488.

The previous prime is 220214623. The next prime is 220214711. The reversal of 220214640 is 46412022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 153607 + ... + 155033.

Almost surely, 2^220214640 is an apocalyptic number.

220214640 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 220214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342103104).

220214640 is an abundant number, since it is smaller than the sum of its proper divisors (463991568).

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

220214640 is a wasteful number, since it uses less digits than its factorization.

220214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 220214640 is about 14839.6307231683. The cubic root of 220214640 is about 603.8773342698.

Adding to 220214640 its reverse (46412022), we get a palindrome (266626662).

The spelling of 220214640 in words is "two hundred twenty million, two hundred fourteen thousand, six hundred forty".