220916340 has 72 divisors (see below), whose sum is σ = 674692200. Its totient is φ = 58508544.

The previous prime is 220916321. The next prime is 220916359. The reversal of 220916340 is 43619022.

220916340 is a `hidden beast` number, since 2 + 20 + 9 + 1 + 634 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220916321) and next prime (220916359).

It can be written as a sum of positive squares in 4 ways, for example, as 6411024 + 214505316 = 2532^2 + 14646^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22702 + ... + 30938.

It is an arithmetic number, because the mean of its divisors is an integer number (9370725).

Almost surely, 2^220916340 is an apocalyptic number.

220916340 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 220916340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337346100).

220916340 is an abundant number, since it is smaller than the sum of its proper divisors (453775860).

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

220916340 is a wasteful number, since it uses less digits than its factorization.

220916340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8401 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 220916340 is about 14863.2546906793. The cubic root of 220916340 is about 604.5180598307.

The spelling of 220916340 in words is "two hundred twenty million, nine hundred sixteen thousand, three hundred forty".