22200003333000 has 192 divisors, whose sum is σ = 79449894828720. Its totient is φ = 5571765504000.

The previous prime is 22200003332981. The next prime is 22200003333029. The reversal of 22200003333000 is 33330000222.

It can be written as a sum of positive squares in 8 ways, for example, as 27940459716 + 22172062873284 = 167154^2 + 4708722^2 .

It is a super-2 number, since 2×22200003333000² (a number of 27 digits) contains 22 as substring.

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

22200003333000 is a modest number, since divided by 3333000 gives 222000 as remainder.

It is a zygodrome in base 10.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 72396031 + ... + 72702030.

Almost surely, 2^{22200003333000} is an apocalyptic number.

22200003333000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200003333000 is an abundant number, since it is smaller than the sum of its proper divisors (57249891495720).

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

22200003333000 is a wasteful number, since it uses less digits than its factorization.

22200003333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145098105 (or 145098088 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 22200003333000 its reverse (33330000222), we get a palindrome (22233333333222).

The spelling of 22200003333000 in words is "twenty-two trillion, two hundred billion, three million, three hundred thirty-three thousand".