22305780 has 180 divisors, whose sum is σ = 81688068. Its totient is φ = 5080320.

The previous prime is 22305779. The next prime is 22305781. The reversal of 22305780 is 8750322.

It is an interprime number because it is at equal distance from previous prime (22305779) and next prime (22305781).

It can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 10732176 = 3402^2 + 3276^2 .

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22305781) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79240 + ... + 79520.

Almost surely, 2^22305780 is an apocalyptic number.

22305780 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 22305780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40844034).

22305780 is an abundant number, since it is smaller than the sum of its proper divisors (59382288).

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

22305780 is a wasteful number, since it uses less digits than its factorization.

22305780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 22305780 is about 4722.8995331258. The cubic root of 22305780 is about 281.4961578263.

The spelling of 22305780 in words is "twenty-two million, three hundred five thousand, seven hundred eighty".