221204822400 has 768 divisors, whose sum is σ = 827634528000. Its totient is φ = 57689210880.

The previous prime is 221204822383. The next prime is 221204822407. The reversal of 221204822400 is 4228402122.

221204822400 is a `hidden beast` number, since 2 + 212 + 0 + 48 + 2 + 2 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221204822407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1357084719 + ... + 1357084881.

It is an arithmetic number, because the mean of its divisors is an integer number (1077649125).

Almost surely, 2^221204822400 is an apocalyptic number.

221204822400 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 221204822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413817264000).

221204822400 is an abundant number, since it is smaller than the sum of its proper divisors (606429705600).

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

221204822400 is a wasteful number, since it uses less digits than its factorization.

221204822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 221204822400 in words is "two hundred twenty-one billion, two hundred four million, eight hundred twenty-two thousand, four hundred".