201668227200 has 1344 divisors, whose sum is σ = 846044956800. Its totient is φ = 47029248000.

The previous prime is 201668227177. The next prime is 201668227207. The reversal of 201668227200 is 2722866102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201668227207) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 744163065 + ... + 744163335.

Almost surely, 2^201668227200 is an apocalyptic number.

201668227200 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 201668227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423022478400).

201668227200 is an abundant number, since it is smaller than the sum of its proper divisors (644376729600).

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

201668227200 is a wasteful number, since it uses less digits than its factorization.

201668227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 201668227200 in words is "two hundred one billion, six hundred sixty-eight million, two hundred twenty-seven thousand, two hundred".