22740 has 24 divisors (see below), whose sum is σ = 63840. Its totient is φ = 6048.

The previous prime is 22739. The next prime is 22741. The reversal of 22740 is 4722.

22740 = T₄₁ + T₄₂ + ... + T₅₈.

22740 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (22739) and next prime (22741).

It is a Harshad number since it is a multiple of its sum of digits (15).

22740 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (2660).

2²²⁷⁴⁰ is an apocalyptic number.

22740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22740 is an abundant number, since it is smaller than the sum of its proper divisors (41100).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31920).

22740 is a wasteful number, since it uses less digits than its factorization.

22740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 22740 is about 150.7978779692. The cubic root of 22740 is about 28.3311032462.

The spelling of 22740 in words is "twenty-two thousand, seven hundred forty", and thus it is an iban number.