22780164 has 96 divisors (see below), whose sum is σ = 63221760. Its totient is φ = 6307200.

The previous prime is 22780157. The next prime is 22780169. The reversal of 22780164 is 46108722.

22780164 = 171² + 172² + ... + 418².

It is not an unprimeable number, because it can be changed into a prime (22780169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77602 + ... + 77894.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 2^22780164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22780164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610880).

22780164 is an abundant number, since it is smaller than the sum of its proper divisors (40441596).

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

22780164 is a wasteful number, since it uses less digits than its factorization.

22780164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 22780164 is about 4772.8570060290. The cubic root of 22780164 is about 283.4777315481.

Adding to 22780164 its reverse (46108722), we get a palindrome (68888886).

The spelling of 22780164 in words is "twenty-two million, seven hundred eighty thousand, one hundred sixty-four".