6222054400 has 297 divisors, whose sum is σ = 16968211429. Its totient is φ = 2261647360.

The previous prime is 6222054367. The next prime is 6222054407. The reversal of 6222054400 is 44502226.

The square root of 6222054400 is 78880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2027160576 + 4194893824 = 45024^2 + 64768^2 .

It is a super-3 number, since 3×6222054400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6222054407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214553586 + ... + 214553614.

Almost surely, 2^6222054400 is an apocalyptic number.

6222054400 is the 78880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6222054400

6222054400 is an abundant number, since it is smaller than the sum of its proper divisors (10746157029).

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

6222054400 is a wasteful number, since it uses less digits than its factorization.

6222054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The cubic root of 6222054400 is about 1839.2662480773.

Multiplying 6222054400 by its sum of digits (25), we get a square (155551360000 = 394400²).

6222054400 divided by its sum of digits (25) gives a square (248882176 = 15776²).

Adding to 6222054400 its reverse (44502226), we get a palindrome (6266556626).

The spelling of 6222054400 in words is "six billion, two hundred twenty-two million, fifty-four thousand, four hundred".