220363416 has 320 divisors, whose sum is σ = 787913280. Its totient is φ = 55987200.

The previous prime is 220363399. The next prime is 220363417. The reversal of 220363416 is 614363022.

220363416 is a `hidden beast` number, since 2 + 20 + 3 + 634 + 1 + 6 = 666.

It is a super-2 number, since 2×220363416² = 97120070222378112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220363416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220363417) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2181766 + ... + 2181866.

It is an arithmetic number, because the mean of its divisors is an integer number (2462229).

Almost surely, 2^220363416 is an apocalyptic number.

220363416 is a gapful number since it is divisible by the number (26) 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 220363416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393956640).

220363416 is an abundant number, since it is smaller than the sum of its proper divisors (567549864).

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

220363416 is a wasteful number, since it uses less digits than its factorization.

220363416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 220363416 is about 14844.6426700005. The cubic root of 220363416 is about 604.0132959078.

It can be divided in two parts, 22036 and 3416, that added together give a palindrome (25452).

The spelling of 220363416 in words is "two hundred twenty million, three hundred sixty-three thousand, four hundred sixteen".