22145904 has 180 divisors, whose sum is σ = 72037056. Its totient is φ = 6336000.

The previous prime is 22145899. The next prime is 22145911. The reversal of 22145904 is 40954122.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 540124 + ... + 540164.

It is a vampire number, since it can be written as 4092 ⋅ 5412 (with its own digits).

Almost surely, 2^22145904 is an apocalyptic number.

22145904 is a gapful number since it is divisible by the number (24) 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 22145904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36018528).

22145904 is an abundant number, since it is smaller than the sum of its proper divisors (49891152).

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

22145904 is a wasteful number, since it uses less digits than its factorization.

22145904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 22145904 is about 4705.9434760736. The cubic root of 22145904 is about 280.8220062136.

It can be divided in two parts, 2214 and 5904, that added together give a palindrome (8118).

The spelling of 22145904 in words is "twenty-two million, one hundred forty-five thousand, nine hundred four".