22760 has 16 divisors (see below), whose sum is σ = 51300. Its totient is φ = 9088.

The previous prime is 22751. The next prime is 22769. The reversal of 22760 is 6722.

22760 = T_{31} + T_{32} + ... +
T_{54}.

It is an interprime number because it is at equal distance from previous prime (22751) and next prime (22769).

It can be written as a sum of positive squares in 2 ways, for example, as 21316 + 1444 = 146^2 + 38^2 .

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 22760.

It is not an unprimeable number, because it can be changed into a prime (22769) by changing a digit.

22760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 245 + ... + 324.

2^{22760} is an apocalyptic number.

22760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22760 is an abundant number, since it is smaller than the sum of its proper divisors (28540).

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 (25650).

22760 is a wasteful number, since it uses less digits than its factorization.

22760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 22760 is about 150.8641773252. The cubic root of 22760 is about 28.3394066181.

The spelling of 22760 in words is "twenty-two thousand, seven hundred sixty".

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.097 sec. • engine limits •