10222897152 has 192 divisors, whose sum is σ = 29582280000. Its totient is φ = 3120758784.

The previous prime is 10222897127. The next prime is 10222897159. The reversal of 10222897152 is 25179822201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10222897152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10222897152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222897159) 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, 11900499 + ... + 11901357.

It is an arithmetic number, because the mean of its divisors is an integer number (154074375).

Almost surely, 2^10222897152 is an apocalyptic number.

10222897152 is a gapful number since it is divisible by the number (12) 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 10222897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791140000).

10222897152 is an abundant number, since it is smaller than the sum of its proper divisors (19359382848).

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

10222897152 is a wasteful number, since it uses less digits than its factorization.

10222897152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10222897152 in words is "ten billion, two hundred twenty-two million, eight hundred ninety-seven thousand, one hundred fifty-two".