222026400 has 288 divisors, whose sum is σ = 846820800. Its totient is φ = 55987200.

The previous prime is 222026393. The next prime is 222026423. The reversal of 222026400 is 4620222.

It is a happy number.

222026400 is a `hidden beast` number, since 2 + 2 + 20 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410130 + ... + 410670.

It is an arithmetic number, because the mean of its divisors is an integer number (2940350).

Almost surely, 2^222026400 is an apocalyptic number.

222026400 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 222026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423410400).

222026400 is an abundant number, since it is smaller than the sum of its proper divisors (624794400).

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

222026400 is a wasteful number, since it uses less digits than its factorization.

222026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 222026400 is about 14900.5503254074. The cubic root of 222026400 is about 605.5288956956.

Adding to 222026400 its reverse (4620222), we get a palindrome (226646622).

The spelling of 222026400 in words is "two hundred twenty-two million, twenty-six thousand, four hundred".