201422028600 has 576 divisors, whose sum is σ = 769286700000. Its totient is φ = 46820229120.

The previous prime is 201422028559. The next prime is 201422028601. The reversal of 201422028600 is 6820224102.

It is a happy number.

201422028600 is a `hidden beast` number, since 2 + 0 + 14 + 2 + 20 + 28 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201422028601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 199624896 + ... + 199625904.

Almost surely, 2^201422028600 is an apocalyptic number.

201422028600 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 201422028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384643350000).

201422028600 is an abundant number, since it is smaller than the sum of its proper divisors (567864671400).

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

201422028600 is a wasteful number, since it uses less digits than its factorization.

201422028600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 201422028600 in words is "two hundred one billion, four hundred twenty-two million, twenty-eight thousand, six hundred".