22070400 has 288 divisors, whose sum is σ = 84109200. Its totient is φ = 5068800.

The previous prime is 22070393. The next prime is 22070407. The reversal of 22070400 is 407022.

It is an interprime number because it is at equal distance from previous prime (22070393) and next prime (22070407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22070400.

It is not an unprimeable number, because it can be changed into a prime (22070407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1161591 + ... + 1161609.

Almost surely, 2^22070400 is an apocalyptic number.

22070400 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 22070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42054600).

22070400 is an abundant number, since it is smaller than the sum of its proper divisors (62038800).

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

22070400 is a wasteful number, since it uses less digits than its factorization.

22070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 22070400 is about 4697.9144308938. The cubic root of 22070400 is about 280.5024990166.

Adding to 22070400 its reverse (407022), we get a palindrome (22477422).

The spelling of 22070400 in words is "twenty-two million, seventy thousand, four hundred".