2201283216 has 400 divisors, whose sum is σ = 7622512128. Its totient is φ = 605491200.

The previous prime is 2201283197. The next prime is 2201283223. The reversal of 2201283216 is 6123821022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2201283216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7512766 + ... + 7513058.

Almost surely, 2^2201283216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201283216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811256064).

2201283216 is an abundant number, since it is smaller than the sum of its proper divisors (5421228912).

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

2201283216 is a wasteful number, since it uses less digits than its factorization.

2201283216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2201283216 is about 46917.8347326472. The cubic root of 2201283216 is about 1300.8442673624.

The spelling of 2201283216 in words is "two billion, two hundred one million, two hundred eighty-three thousand, two hundred sixteen".