2200201248 has 96 divisors (see below), whose sum is σ = 6637438080. Its totient is φ = 625121280.

The previous prime is 2200201193. The next prime is 2200201249. The reversal of 2200201248 is 8421020022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2200201249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112588 + ... + 130676.

It is an arithmetic number, because the mean of its divisors is an integer number (69139980).

Almost surely, 2^2200201248 is an apocalyptic number.

2200201248 is a gapful number since it is divisible by the number (28) 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 2200201248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318719040).

2200201248 is an abundant number, since it is smaller than the sum of its proper divisors (4437236832).

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

2200201248 is a wasteful number, since it uses less digits than its factorization.

2200201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18290 (or 18282 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2200201248 is about 46906.3028600635. The cubic root of 2200201248 is about 1300.6311034342.

The spelling of 2200201248 in words is "two billion, two hundred million, two hundred one thousand, two hundred forty-eight".