22769440 has 48 divisors (see below), whose sum is σ = 54363960. Its totient is φ = 9011200.

The previous prime is 22769419. The next prime is 22769447. The reversal of 22769440 is 4496722.

It can be written as a sum of positive squares in 4 ways, for example, as 17405584 + 5363856 = 4172^2 + 2316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22769396 and 22769405.

It is not an unprimeable number, because it can be changed into a prime (22769447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15456 + ... + 16864.

Almost surely, 2^22769440 is an apocalyptic number.

22769440 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 22769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27181980).

22769440 is an abundant number, since it is smaller than the sum of its proper divisors (31594520).

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

22769440 is a wasteful number, since it uses less digits than its factorization.

22769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 22769440 is about 4771.7334376514. The cubic root of 22769440 is about 283.4332411989.

The spelling of 22769440 in words is "twenty-two million, seven hundred sixty-nine thousand, four hundred forty".