223132000 has 192 divisors, whose sum is σ = 675851904. Its totient is φ = 70502400.

The previous prime is 223131973. The next prime is 223132001. The reversal of 223132000 is 231322.

It is a happy number.

It is a super-3 number, since 3×223132000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363694 + ... + 364306.

It is an arithmetic number, because the mean of its divisors is an integer number (3520062).

Almost surely, 2^223132000 is an apocalyptic number.

223132000 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 223132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337925952).

223132000 is an abundant number, since it is smaller than the sum of its proper divisors (452719904).

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

223132000 is a wasteful number, since it uses less digits than its factorization.

223132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 223132000 is about 14937.6035561264. The cubic root of 223132000 is about 606.5323267864.

Adding to 223132000 its reverse (231322), we get a palindrome (223363322).

The spelling of 223132000 in words is "two hundred twenty-three million, one hundred thirty-two thousand".