10630228224 has 288 divisors, whose sum is σ = 37133429760. Its totient is φ = 2615500800.

The previous prime is 10630228223. The next prime is 10630228249. The reversal of 10630228224 is 42282203601.

It is a super-2 number, since 2×10630228224² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10630228191 and 10630228200.

It is not an unprimeable number, because it can be changed into a prime (10630228223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118854 + ... + 1128314.

It is an arithmetic number, because the mean of its divisors is an integer number (128935520).

Almost surely, 2^10630228224 is an apocalyptic number.

10630228224 is a gapful number since it is divisible by the number (14) 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 10630228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18566714880).

10630228224 is an abundant number, since it is smaller than the sum of its proper divisors (26503201536).

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

10630228224 is a wasteful number, since it uses less digits than its factorization.

10630228224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9517 (or 9503 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10630228224 in words is "ten billion, six hundred thirty million, two hundred twenty-eight thousand, two hundred twenty-four".