22221967152 has 320 divisors, whose sum is σ = 73219313664. Its totient is φ = 5640760320.

The previous prime is 22221967127. The next prime is 22221967153. The reversal of 22221967152 is 25176912222.

It is a super-2 number, since 2×22221967152² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22221967152.

It is not an unprimeable number, because it can be changed into a prime (22221967153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32823838 + ... + 32824514.

Almost surely, 2^22221967152 is an apocalyptic number.

22221967152 is a gapful number since it is divisible by the number (22) 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 22221967152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36609656832).

22221967152 is an abundant number, since it is smaller than the sum of its proper divisors (50997346512).

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

22221967152 is a wasteful number, since it uses less digits than its factorization.

22221967152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The spelling of 22221967152 in words is "twenty-two billion, two hundred twenty-one million, nine hundred sixty-seven thousand, one hundred fifty-two".