22510 has 8 divisors (see below), whose sum is σ = 40536. Its totient is φ = 9000.

The previous prime is 22501. The next prime is 22511. The reversal of 22510 is 1522.

22510 = T₁₂₁ + T₁₂₂ + T₁₂₃.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 2251 = 22510 / (2 + 2 + 5 + 1 + 0).

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22511) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1116 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (5067).

2²²⁵¹⁰ is an apocalyptic number.

22510 is the 123-rd centered triangular number.

22510 is a deficient number, since it is larger than the sum of its proper divisors (18026).

22510 is a wasteful number, since it uses less digits than its factorization.

22510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 22510 is about 150.0333296305. The cubic root of 22510 is about 28.2352626293.

Subtracting from 22510 its sum of digits (10), we obtain a square (22500 = 150²).

The spelling of 22510 in words is "twenty-two thousand, five hundred ten".