253222080 has 112 divisors (see below), whose sum is σ = 825825120. Its totient is φ = 65691648.

The previous prime is 253222069. The next prime is 253222091. The reversal of 253222080 is 80222352.

It is an interprime number because it is at equal distance from previous prime (253222069) and next prime (253222091).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 253222080.

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, 31956 + ... + 39084.

Almost surely, 2^253222080 is an apocalyptic number.

253222080 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 253222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412912560).

253222080 is an abundant number, since it is smaller than the sum of its proper divisors (572603040).

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

253222080 is a wasteful number, since it uses less digits than its factorization.

253222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 253222080 is about 15912.9532142843. The cubic root of 253222080 is about 632.6553582135.

The spelling of 253222080 in words is "two hundred fifty-three million, two hundred twenty-two thousand, eighty".