253114224 has 160 divisors (see below), whose sum is σ = 764308224. Its totient is φ = 71331840.

The previous prime is 253114217. The next prime is 253114247. The reversal of 253114224 is 422411352.

It is a super-2 number, since 2×253114224² = 128133620782244352, which contains 22 as substring.

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 = 253114194 and 253114203.

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, 1463002 + ... + 1463174.

Almost surely, 2^253114224 is an apocalyptic number.

253114224 is a gapful number since it is divisible by the number (24) 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 253114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382154112).

253114224 is an abundant number, since it is smaller than the sum of its proper divisors (511194000).

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

253114224 is a wasteful number, since it uses less digits than its factorization.

253114224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

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

The square root of 253114224 is about 15909.5639160852. The cubic root of 253114224 is about 632.5655222263.

Adding to 253114224 its reverse (422411352), we get a palindrome (675525576).

The spelling of 253114224 in words is "two hundred fifty-three million, one hundred fourteen thousand, two hundred twenty-four".