202820016 has 160 divisors (see below), whose sum is σ = 622182400. Its totient is φ = 56899584.

The previous prime is 202819963. The next prime is 202820017. The reversal of 202820016 is 610028202.

It is a super-2 number, since 2×202820016² = 82271917780480512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 202819974 and 202820001.

It is not an unprimeable number, because it can be changed into a prime (202820017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596945 + ... + 1597071.

It is an arithmetic number, because the mean of its divisors is an integer number (3888640).

Almost surely, 2^202820016 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 202820016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311091200).

202820016 is an abundant number, since it is smaller than the sum of its proper divisors (419362384).

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

202820016 is a wasteful number, since it uses less digits than its factorization.

202820016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 202820016 is about 14241.4892479684. The cubic root of 202820016 is about 587.5393217079.

Adding to 202820016 its reverse (610028202), we get a palindrome (812848218).

The spelling of 202820016 in words is "two hundred two million, eight hundred twenty thousand, sixteen".