31268224 has 128 divisors (see below), whose sum is σ = 75398400. Its totient is φ = 12773376.

The previous prime is 31268221. The next prime is 31268231. The reversal of 31268224 is 42286213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×31268224² = 1955403664228352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 31268192 and 31268201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31268221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727147 + ... + 727189.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 2^31268224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699200).

31268224 is an abundant number, since it is smaller than the sum of its proper divisors (44130176).

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

31268224 is a wasteful number, since it uses less digits than its factorization.

31268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 31268224 is about 5591.7997102901. The cubic root of 31268224 is about 315.0414793786.

The spelling of 31268224 in words is "thirty-one million, two hundred sixty-eight thousand, two hundred twenty-four".