22905540 has 180 divisors, whose sum is σ = 82584684. Its totient is φ = 5136768.

The previous prime is 22905503. The next prime is 22905551. The reversal of 22905540 is 4550922.

22905540 is a `hidden beast` number, since 22 + 90 + 554 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 10458756 = 3528^2 + 3234^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 371 × 315 × 196.

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 59 ways as a sum of consecutive naturals, for example, 432154 + ... + 432206.

Almost surely, 2^22905540 is an apocalyptic number.

22905540 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 22905540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292342).

22905540 is an abundant number, since it is smaller than the sum of its proper divisors (59679144).

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

22905540 is a wasteful number, since it uses less digits than its factorization.

22905540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 22905540 is about 4785.9732552533. The cubic root of 22905540 is about 283.9968425226.

The spelling of 22905540 in words is "twenty-two million, nine hundred five thousand, five hundred forty".