222350202000 has 120 divisors (see below), whose sum is σ = 776595201720. Its totient is φ = 59293382400.

The previous prime is 222350201963. The next prime is 222350202007. The reversal of 222350202000 is 202053222.

It can be written as a sum of positive squares in 4 ways, for example, as 17554130064 + 204796071936 = 132492^2 + 452544^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×222350202000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (222350202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6158395 + ... + 6194394.

It is an arithmetic number, because the mean of its divisors is an integer number (6471626681).

Almost surely, 2^222350202000 is an apocalyptic number.

222350202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222350202000 is an abundant number, since it is smaller than the sum of its proper divisors (554244999720).

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

222350202000 is a wasteful number, since it uses less digits than its factorization.

222350202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12352818 (or 12352799 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 222350202000 its reverse (202053222), we get a palindrome (222552255222).

The spelling of 222350202000 in words is "two hundred twenty-two billion, three hundred fifty million, two hundred two thousand".