22322100002220 has 144 divisors (see below), whose sum is σ = 69766902293088. Its totient is φ = 5772814064640.

The previous prime is 22322100002197. The next prime is 22322100002231. The reversal of 22322100002220 is 2220000122322.

22322100002220 is a `hidden beast` number, since 2 + 232 + 210 + 0 + 0 + 0 + 2 + 220 = 666.

It is a super-3 number, since 3×22322100002220³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 22322100002193 and 22322100002202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3414121 + ... + 7503360.

Almost surely, 2^{22322100002220} is an apocalyptic number.

22322100002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22322100002220 is an abundant number, since it is smaller than the sum of its proper divisors (47444802290868).

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

22322100002220 is a wasteful number, since it uses less digits than its factorization.

22322100002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917840 (or 10917835 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22322100002220 its reverse (2220000122322), we get a palindrome (24542100124542).

The spelling of 22322100002220 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred million, two thousand, two hundred twenty".