202312416 has 96 divisors (see below), whose sum is σ = 563915520. Its totient is φ = 63371264.

The previous prime is 202312403. The next prime is 202312433. The reversal of 202312416 is 614213202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 202312392 and 202312401.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 129496 + ... + 131048.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2^202312416 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 202312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281957760).

202312416 is an abundant number, since it is smaller than the sum of its proper divisors (361603104).

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

202312416 is a wasteful number, since it uses less digits than its factorization.

202312416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 202312416 is about 14223.6569137476. The cubic root of 202312416 is about 587.0487650874.

Adding to 202312416 its reverse (614213202), we get a palindrome (816525618).

The spelling of 202312416 in words is "two hundred two million, three hundred twelve thousand, four hundred sixteen".