223213322000 has 80 divisors (see below), whose sum is σ = 540007162032. Its totient is φ = 89239449600.

The previous prime is 223213321997. The next prime is 223213322009. The reversal of 223213322000 is 223312322.

It can be written as a sum of positive squares in 8 ways, for example, as 69552457984 + 153660864016 = 263728^2 + 391996^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×223213322000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (223213322009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4006334 + ... + 4061666.

Almost surely, 2^223213322000 is an apocalyptic number.

223213322000 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 223213322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270003581016).

223213322000 is an abundant number, since it is smaller than the sum of its proper divisors (316793840032).

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

223213322000 is a wasteful number, since it uses less digits than its factorization.

223213322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57373 (or 57357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 223213322000 its reverse (223312322), we get a palindrome (223436634322).

The spelling of 223213322000 in words is "two hundred twenty-three billion, two hundred thirteen million, three hundred twenty-two thousand".