202202000000 has 896 divisors, whose sum is σ = 682753760640. Its totient is φ = 57600000000.

The previous prime is 202201999931. The next prime is 202202000027. The reversal of 202202000000 is 202202.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2001999950 + ... + 2002000050.

It is an arithmetic number, because the mean of its divisors is an integer number (762001965).

Almost surely, 2^202202000000 is an apocalyptic number.

202202000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341376880320).

202202000000 is an abundant number, since it is smaller than the sum of its proper divisors (480551760640).

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

202202000000 is an equidigital number, since it uses as much as digits as its factorization.

202202000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 202202000000 its reverse (202202), we get a palindrome (202202202202).

202202000000 divided by its reverse (202202) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 202 and 202000000, that multiplied together give a square (40804000000 = 202000²).

The spelling of 202202000000 in words is "two hundred two billion, two hundred two million", and thus it is an aban number.