2201414208 has 112 divisors (see below), whose sum is σ = 6701942400. Its totient is φ = 624697344.

The previous prime is 2201414179. The next prime is 2201414209. The reversal of 2201414208 is 8024141022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2201414209) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 194760 + ... + 205752.

Almost surely, 2^2201414208 is an apocalyptic number.

2201414208 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 2201414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350971200).

2201414208 is an abundant number, since it is smaller than the sum of its proper divisors (4500528192).

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

2201414208 is a wasteful number, since it uses less digits than its factorization.

2201414208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164 (or 11154 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2201414208 is about 46919.2306842301. The cubic root of 2201414208 is about 1300.8700700111.

The spelling of 2201414208 in words is "two billion, two hundred one million, four hundred fourteen thousand, two hundred eight".