10227646224 has 320 divisors, whose sum is σ = 31417632000. Its totient is φ = 3180441600.

The previous prime is 10227646217. The next prime is 10227646241. The reversal of 10227646224 is 42264672201.

10227646224 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 7 + 646 + 2 + 2 + 4 = 666.

10227646224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74654284 + ... + 74654420.

It is an arithmetic number, because the mean of its divisors is an integer number (98180100).

Almost surely, 2^10227646224 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 10227646224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15708816000).

10227646224 is an abundant number, since it is smaller than the sum of its proper divisors (21189985776).

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

10227646224 is a wasteful number, since it uses less digits than its factorization.

10227646224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 10227646224 in words is "ten billion, two hundred twenty-seven million, six hundred forty-six thousand, two hundred twenty-four".