201885222000 has 1280 divisors, whose sum is σ = 866115993600. Its totient is φ = 39191040000.

The previous prime is 201885221971. The next prime is 201885222017. The reversal of 201885222000 is 222588102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 956801895 + ... + 956802105.

It is an arithmetic number, because the mean of its divisors is an integer number (676653120).

Almost surely, 2^201885222000 is an apocalyptic number.

201885222000 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 201885222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433057996800).

201885222000 is an abundant number, since it is smaller than the sum of its proper divisors (664230771600).

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

201885222000 is a wasteful number, since it uses less digits than its factorization.

201885222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 201885222000 in words is "two hundred one billion, eight hundred eighty-five million, two hundred twenty-two thousand".