221222672 has 80 divisors (see below), whose sum is σ = 490147200. Its totient is φ = 95800320.

The previous prime is 221222669. The next prime is 221222693. The reversal of 221222672 is 276222122.

221222672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454013 + ... + 454499.

It is an arithmetic number, because the mean of its divisors is an integer number (6126840).

Almost surely, 2^221222672 is an apocalyptic number.

221222672 is a gapful number since it is divisible by the number (22) 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 221222672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245073600).

221222672 is an abundant number, since it is smaller than the sum of its proper divisors (268924528).

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

221222672 is a wasteful number, since it uses less digits than its factorization.

221222672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 221222672 is about 14873.5561316048. The cubic root of 221222672 is about 604.7973476037.

Adding to 221222672 its reverse (276222122), we get a palindrome (497444794).

The spelling of 221222672 in words is "two hundred twenty-one million, two hundred twenty-two thousand, six hundred seventy-two".