222249040 has 80 divisors (see below), whose sum is σ = 575744400. Its totient is φ = 79220736.

The previous prime is 222249031. The next prime is 222249059. The reversal of 222249040 is 40942222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 576 + 222248464 = 24^2 + 14908^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 222248996 and 222249014.

It is a congruent number.

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, 26476 + ... + 33844.

It is an arithmetic number, because the mean of its divisors is an integer number (7196805).

Almost surely, 2^222249040 is an apocalyptic number.

222249040 is a gapful number since it is divisible by the number (20) 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 222249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287872200).

222249040 is an abundant number, since it is smaller than the sum of its proper divisors (353495360).

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

222249040 is a wasteful number, since it uses less digits than its factorization.

222249040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7424 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 222249040 is about 14908.0193184742. The cubic root of 222249040 is about 605.7312288654.

The spelling of 222249040 in words is "two hundred twenty-two million, two hundred forty-nine thousand, forty".