202116352 has 36 divisors (see below), whose sum is σ = 407489796. Its totient is φ = 100044800.

The previous prime is 202116329. The next prime is 202116367. The reversal of 202116352 is 253611202.

It can be written as a sum of positive squares in 2 ways, for example, as 85821696 + 116294656 = 9264^2 + 10784^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21948 + ... + 29764.

It is an arithmetic number, because the mean of its divisors is an integer number (11319161).

Almost surely, 2^202116352 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 202116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203744898).

202116352 is an abundant number, since it is smaller than the sum of its proper divisors (205373444).

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

202116352 is an equidigital number, since it uses as much as digits as its factorization.

202116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 202116352 is about 14216.7630633699. The cubic root of 202116352 is about 586.8590645361.

Adding to 202116352 its reverse (253611202), we get a palindrome (455727554).

It can be divided in two parts, 202 and 116352, that multiplied together give a square (23503104 = 4848²).

The spelling of 202116352 in words is "two hundred two million, one hundred sixteen thousand, three hundred fifty-two".