22271400 has 72 divisors (see below), whose sum is σ = 74800830. Its totient is φ = 5938560.

The previous prime is 22271393. The next prime is 22271407. The reversal of 22271400 is 417222.

It is an interprime number because it is at equal distance from previous prime (22271393) and next prime (22271407).

It can be written as a sum of positive squares in 3 ways, for example, as 16597476 + 5673924 = 4074^2 + 2382^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (22271407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4387 + ... + 7986.

Almost surely, 2^22271400 is an apocalyptic number.

22271400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22271400 is an abundant number, since it is smaller than the sum of its proper divisors (52529430).

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

22271400 is a wasteful number, since it uses less digits than its factorization.

22271400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12395 (or 12383 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22271400 is about 4719.2584163192. The cubic root of 22271400 is about 281.3514596908.

Adding to 22271400 its reverse (417222), we get a palindrome (22688622).

The spelling of 22271400 in words is "twenty-two million, two hundred seventy-one thousand, four hundred".