201522245200 has 30 divisors (see below), whose sum is σ = 484157195054. Its totient is φ = 80608897920.

The previous prime is 201522245159. The next prime is 201522245219. The reversal of 201522245200 is 2542225102.

201522245200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7083578896 + 194438666304 = 84164^2 + 440952^2 .

It is a super-2 number, since 2×201522245200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251902407 + ... + 251903206.

Almost surely, 2^201522245200 is an apocalyptic number.

201522245200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201522245200 is an abundant number, since it is smaller than the sum of its proper divisors (282634949854).

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

201522245200 is a wasteful number, since it uses less digits than its factorization.

201522245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503805631 (or 503805620 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 201522245200 in words is "two hundred one billion, five hundred twenty-two million, two hundred forty-five thousand, two hundred".