22380160 has 144 divisors (see below), whose sum is σ = 62471430. Its totient is φ = 7659520.

The previous prime is 22380133. The next prime is 22380181. The reversal of 22380160 is 6108322.

It can be written as a sum of positive squares in 3 ways, for example, as 21752896 + 627264 = 4664^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1316472 + ... + 1316488.

Almost surely, 2^22380160 is an apocalyptic number.

22380160 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 22380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31235715).

22380160 is an abundant number, since it is smaller than the sum of its proper divisors (40091270).

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

22380160 is a wasteful number, since it uses less digits than its factorization.

22380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 22380160 is about 4730.7673796119. The cubic root of 22380160 is about 281.8086994571.

Adding to 22380160 its reverse (6108322), we get a palindrome (28488482).

The spelling of 22380160 in words is "twenty-two million, three hundred eighty thousand, one hundred sixty".