22569840 has 180 divisors, whose sum is σ = 80538744. Its totient is φ = 5878656.

The previous prime is 22569809. The next prime is 22569881. The reversal of 22569840 is 4896522.

22569840 = 211² + 212² + ... + 425².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22569795 and 22569804.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 524859 + ... + 524901.

Almost surely, 2^22569840 is an apocalyptic number.

22569840 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 22569840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40269372).

22569840 is an abundant number, since it is smaller than the sum of its proper divisors (57968904).

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

22569840 is an frugal number, since it uses more digits than its factorization.

22569840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 22569840 is about 4750.7725687513. The cubic root of 22569840 is about 282.6026045441.

It can be divided in two parts, 22569 and 840, that added together give a square (23409 = 153²).

The spelling of 22569840 in words is "twenty-two million, five hundred sixty-nine thousand, eight hundred forty".