201522816 has 384 divisors, whose sum is σ = 712857600. Its totient is φ = 55987200.

The previous prime is 201522809. The next prime is 201522821. The reversal of 201522816 is 618225102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×201522816² = 81222890737139712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 201522816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6500721 + ... + 6500751.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 2^201522816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

201522816 is an abundant number, since it is smaller than the sum of its proper divisors (511334784).

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

201522816 is a wasteful number, since it uses less digits than its factorization.

201522816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 201522816 is about 14195.8732031531. The cubic root of 201522816 is about 586.2840434372.

Adding to 201522816 its reverse (618225102), we get a palindrome (819747918).

The spelling of 201522816 in words is "two hundred one million, five hundred twenty-two thousand, eight hundred sixteen".