22145400 has 120 divisors (see below), whose sum is σ = 76970520. Its totient is φ = 5901120.

The previous prime is 22145363. The next prime is 22145411. The reversal of 22145400 is 454122.

22145400 is a `hidden beast` number, since 221 + 45 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 15517 + ... + 16883.

It is an arithmetic number, because the mean of its divisors is an integer number (641421).

Almost surely, 2^22145400 is an apocalyptic number.

22145400 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 22145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38485260).

22145400 is an abundant number, since it is smaller than the sum of its proper divisors (54825120).

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

22145400 is a wasteful number, since it uses less digits than its factorization.

22145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22145400 is about 4705.8899264645. The cubic root of 22145400 is about 280.8198758668.

Adding to 22145400 its reverse (454122), we get a palindrome (22599522).

The spelling of 22145400 in words is "twenty-two million, one hundred forty-five thousand, four hundred".