2204145224100 has 144 divisors (see below), whose sum is σ = 7090477430400. Its totient is φ = 587393919360.

The previous prime is 2204145223997. The next prime is 2204145224119. The reversal of 2204145224100 is 14225414022.

It is a happy number.

2204145224100 is a `hidden beast` number, since 2 + 2 + 0 + 414 + 5 + 2 + 241 + 0 + 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 47 ways as a sum of consecutive naturals, for example, 3947482 + ... + 4471118.

It is an arithmetic number, because the mean of its divisors is an integer number (49239426600).

Almost surely, 2^{2204145224100} is an apocalyptic number.

2204145224100 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 2204145224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545238715200).

2204145224100 is an abundant number, since it is smaller than the sum of its proper divisors (4886332206300).

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

2204145224100 is a wasteful number, since it uses less digits than its factorization.

2204145224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525219 (or 525206 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 2204145224100 in words is "two trillion, two hundred four billion, one hundred forty-five million, two hundred twenty-four thousand, one hundred".