253312224 has 48 divisors (see below), whose sum is σ = 725397120. Its totient is φ = 76760960.

The previous prime is 253312217. The next prime is 253312231. The reversal of 253312224 is 422213352.

253312224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253312217) and next prime (253312231).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 253312194 and 253312203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118884 + ... + 120995.

It is an arithmetic number, because the mean of its divisors is an integer number (15112440).

Almost surely, 2^253312224 is an apocalyptic number.

253312224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253312224 is an abundant number, since it is smaller than the sum of its proper divisors (472084896).

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

253312224 is a wasteful number, since it uses less digits than its factorization.

253312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239903 (or 239895 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 253312224 is about 15915.7853717622. The cubic root of 253312224 is about 632.7304218606.

Adding to 253312224 its reverse (422213352), we get a palindrome (675525576).

The spelling of 253312224 in words is "two hundred fifty-three million, three hundred twelve thousand, two hundred twenty-four".