10222153344 has 320 divisors, whose sum is σ = 33045705000. Its totient is φ = 3118030848.

The previous prime is 10222153313. The next prime is 10222153369. The reversal of 10222153344 is 44335122201.

10222153344 is a `hidden beast` number, since 102 + 2 + 21 + 533 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6607738944 + 3614414400 = 81288^2 + 60120^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20082562 + ... + 20083070.

Almost surely, 2^10222153344 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 10222153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522852500).

10222153344 is an abundant number, since it is smaller than the sum of its proper divisors (22823551656).

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

10222153344 is a wasteful number, since it uses less digits than its factorization.

10222153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10222153344 its reverse (44335122201), we get a palindrome (54557275545).

The spelling of 10222153344 in words is "ten billion, two hundred twenty-two million, one hundred fifty-three thousand, three hundred forty-four".