221814408 has 64 divisors (see below), whose sum is σ = 571824000. Its totient is φ = 71649792.

The previous prime is 221814407. The next prime is 221814427. The reversal of 221814408 is 804418122.

It is not an unprimeable number, because it can be changed into a prime (221814407) 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 15 ways as a sum of consecutive naturals, for example, 389548 + ... + 390116.

It is an arithmetic number, because the mean of its divisors is an integer number (8934750).

Almost surely, 2^221814408 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 221814408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285912000).

221814408 is an abundant number, since it is smaller than the sum of its proper divisors (350009592).

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

221814408 is a wasteful number, since it uses less digits than its factorization.

221814408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 221814408 is about 14893.4350638125. The cubic root of 221814408 is about 605.3361135781.

It can be divided in two parts, 221814 and 408, that added together give a palindrome (222222).

The spelling of 221814408 in words is "two hundred twenty-one million, eight hundred fourteen thousand, four hundred eight".