221885972 has 96 divisors (see below), whose sum is σ = 529514496. Its totient is φ = 78681600.

The previous prime is 221885969. The next prime is 221885981. The reversal of 221885972 is 279588122.

221885972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161633 + ... + 162999.

It is an arithmetic number, because the mean of its divisors is an integer number (5515776).

Almost surely, 2^221885972 is an apocalyptic number.

221885972 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 221885972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264757248).

221885972 is an abundant number, since it is smaller than the sum of its proper divisors (307628524).

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

221885972 is a wasteful number, since it uses less digits than its factorization.

221885972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1435 counting only the distinct ones).

The product of its digits is 161280, while the sum is 44.

The square root of 221885972 is about 14895.8374051276. The cubic root of 221885972 is about 605.4012064577.

The spelling of 221885972 in words is "two hundred twenty-one million, eight hundred eighty-five thousand, nine hundred seventy-two".