10222902144 has 288 divisors, whose sum is σ = 36855294840. Its totient is φ = 2695956480.

The previous prime is 10222902119. The next prime is 10222902163. The reversal of 10222902144 is 44120922201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 726859 + ... + 740789.

Almost surely, 2^10222902144 is an apocalyptic number.

10222902144 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 10222902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18427647420).

10222902144 is an abundant number, since it is smaller than the sum of its proper divisors (26632392696).

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

10222902144 is a wasteful number, since it uses less digits than its factorization.

10222902144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13978 (or 13956 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10222902144 in words is "ten billion, two hundred twenty-two million, nine hundred two thousand, one hundred forty-four".