2221303145400 has 288 divisors, whose sum is σ = 7525947237120. Its totient is φ = 587123712000.

The previous prime is 2221303145389. The next prime is 2221303145401. The reversal of 2221303145400 is 45413031222.

2221303145400 is a `hidden beast` number, since 2 + 2 + 213 + 0 + 3 + 1 + 45 + 400 = 666.

2221303145400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221303145401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96596304 + ... + 96619296.

It is an arithmetic number, because the mean of its divisors is an integer number (26131761240).

Almost surely, 2^{2221303145400} is an apocalyptic number.

2221303145400 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 2221303145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762973618560).

2221303145400 is an abundant number, since it is smaller than the sum of its proper divisors (5304644091720).

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

2221303145400 is a wasteful number, since it uses less digits than its factorization.

2221303145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23487 (or 23475 counting only the distinct ones).

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

Adding to 2221303145400 its reverse (45413031222), we get a palindrome (2266716176622).

The spelling of 2221303145400 in words is "two trillion, two hundred twenty-one billion, three hundred three million, one hundred forty-five thousand, four hundred".