220340736 has 480 divisors, whose sum is σ = 857945088. Its totient is φ = 54743040.

The previous prime is 220340719. The next prime is 220340741. The reversal of 220340736 is 637043022.

220340736 is a `hidden beast` number, since 220 + 3 + 407 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9580021 + ... + 9580043.

Almost surely, 2^220340736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428972544).

220340736 is an abundant number, since it is smaller than the sum of its proper divisors (637604352).

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

220340736 is an equidigital number, since it uses as much as digits as its factorization.

220340736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 220340736 is about 14843.8787383891. The cubic root of 220340736 is about 603.9925733338.

Adding to 220340736 its reverse (637043022), we get a palindrome (857383758).

The spelling of 220340736 in words is "two hundred twenty million, three hundred forty thousand, seven hundred thirty-six".