22780032 has 64 divisors (see below), whose sum is σ = 66022560. Its totient is φ = 6901760.

The previous prime is 22780027. The next prime is 22780033. The reversal of 22780032 is 23008722.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 22779984 and 22780011.

It is not an unprimeable number, because it can be changed into a prime (22780033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1528 + ... + 6920.

Almost surely, 2^22780032 is an apocalyptic number.

22780032 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 22780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33011280).

22780032 is an abundant number, since it is smaller than the sum of its proper divisors (43242528).

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

22780032 is a wasteful number, since it uses less digits than its factorization.

22780032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 22780032 is about 4772.8431778134. The cubic root of 22780032 is about 283.4771840084.

Adding to 22780032 its reverse (23008722), we get a palindrome (45788754).

The spelling of 22780032 in words is "twenty-two million, seven hundred eighty thousand, thirty-two".