22133760 has 176 divisors, whose sum is σ = 77818752. Its totient is φ = 5324800.

The previous prime is 22133747. The next prime is 22133821. The reversal of 22133760 is 6733122.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22133760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168895 + ... + 169025.

It is an arithmetic number, because the mean of its divisors is an integer number (442152).

Almost surely, 2^22133760 is an apocalyptic number.

22133760 is a gapful number since it is divisible by the number (20) 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 22133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38909376).

22133760 is an abundant number, since it is smaller than the sum of its proper divisors (55684992).

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

22133760 is a wasteful number, since it uses less digits than its factorization.

22133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 22133760 is about 4704.6530158982. The cubic root of 22133760 is about 280.7706660050.

Adding to 22133760 its reverse (6733122), we get a palindrome (28866882).

The spelling of 22133760 in words is "twenty-two million, one hundred thirty-three thousand, seven hundred sixty".