221022356400 has 960 divisors, whose sum is σ = 871523980800. Its totient is φ = 52986286080.

The previous prime is 221022356329. The next prime is 221022356417. The reversal of 221022356400 is 4653220122.

It is a happy number.

221022356400 is a `hidden beast` number, since 2 + 2 + 10 + 2 + 2 + 3 + 5 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326472862 + ... + 326473538.

It is an arithmetic number, because the mean of its divisors is an integer number (907837480).

Almost surely, 2^221022356400 is an apocalyptic number.

221022356400 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 221022356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435761990400).

221022356400 is an abundant number, since it is smaller than the sum of its proper divisors (650501624400).

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

221022356400 is a wasteful number, since it uses less digits than its factorization.

221022356400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 221022356400 its reverse (4653220122), we get a palindrome (225675576522).

The spelling of 221022356400 in words is "two hundred twenty-one billion, twenty-two million, three hundred fifty-six thousand, four hundred".