223211131000 has 256 divisors, whose sum is σ = 626702469120. Its totient is φ = 73327680000.

The previous prime is 223211130983. The next prime is 223211131001. The reversal of 223211131000 is 131112322.

It is a super-3 number, since 3×223211131000³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223211131001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6704395 + ... + 6737605.

It is an arithmetic number, because the mean of its divisors is an integer number (2448056520).

Almost surely, 2^223211131000 is an apocalyptic number.

223211131000 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 223211131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313351234560).

223211131000 is an abundant number, since it is smaller than the sum of its proper divisors (403491338120).

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

223211131000 is a wasteful number, since it uses less digits than its factorization.

223211131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33303 (or 33289 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 223211131000 its reverse (131112322), we get a palindrome (223342243322).

The spelling of 223211131000 in words is "two hundred twenty-three billion, two hundred eleven million, one hundred thirty-one thousand".