2206138200 has 384 divisors, whose sum is σ = 8118528000. Its totient is φ = 485222400.

The previous prime is 2206138189. The next prime is 2206138213. The reversal of 2206138200 is 28316022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20239746 + ... + 20239854.

It is an arithmetic number, because the mean of its divisors is an integer number (21142000).

Almost surely, 2^2206138200 is an apocalyptic number.

2206138200 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 2206138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059264000).

2206138200 is an abundant number, since it is smaller than the sum of its proper divisors (5912389800).

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

2206138200 is a wasteful number, since it uses less digits than its factorization.

2206138200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2206138200 is about 46969.5454523460. The cubic root of 2206138200 is about 1301.7999130945.

The spelling of 2206138200 in words is "two billion, two hundred six million, one hundred thirty-eight thousand, two hundred".