22256740 has 72 divisors (see below), whose sum is σ = 54497016. Its totient is φ = 7603200.

The previous prime is 22256719. The next prime is 22256743. The reversal of 22256740 is 4765222.

It can be written as a sum of positive squares in 4 ways, for example, as 3663396 + 18593344 = 1914^2 + 4312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22256699 and 22256708.

It is not an unprimeable number, because it can be changed into a prime (22256743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40870 + ... + 41410.

It is an arithmetic number, because the mean of its divisors is an integer number (756903).

Almost surely, 2^22256740 is an apocalyptic number.

22256740 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 22256740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27248508).

22256740 is an abundant number, since it is smaller than the sum of its proper divisors (32240276).

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

22256740 is a wasteful number, since it uses less digits than its factorization.

22256740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 22256740 is about 4717.7049505029. The cubic root of 22256740 is about 281.2897135690.

The spelling of 22256740 in words is "twenty-two million, two hundred fifty-six thousand, seven hundred forty".