220254688 has 48 divisors (see below), whose sum is σ = 459058320. Its totient is φ = 103735296.

The previous prime is 220254677. The next prime is 220254689. The reversal of 220254688 is 886452022.

It is a super-3 number, since 3×220254688³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220254689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 116406 + ... + 118282.

It is an arithmetic number, because the mean of its divisors is an integer number (9563715).

Almost surely, 2^220254688 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 220254688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229529160).

220254688 is an abundant number, since it is smaller than the sum of its proper divisors (238803632).

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

220254688 is a wasteful number, since it uses less digits than its factorization.

220254688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 220254688 is about 14840.9800215484. The cubic root of 220254688 is about 603.9139388806.

The spelling of 220254688 in words is "two hundred twenty million, two hundred fifty-four thousand, six hundred eighty-eight".