223212132 has 192 divisors, whose sum is σ = 691488000. Its totient is φ = 61378560.

The previous prime is 223212127. The next prime is 223212139. The reversal of 223212132 is 231212322.

It is a super-3 number, since 3×223212132³ (a number of 26 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (223212139) 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, 1497994 + ... + 1498142.

It is an arithmetic number, because the mean of its divisors is an integer number (3601500).

Almost surely, 2^223212132 is an apocalyptic number.

223212132 is a gapful number since it is divisible by the number (22) 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 223212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345744000).

223212132 is an abundant number, since it is smaller than the sum of its proper divisors (468275868).

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

223212132 is a wasteful number, since it uses less digits than its factorization.

223212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 223212132 is about 14940.2855394400. The cubic root of 223212132 is about 606.6049248172.

Adding to 223212132 its reverse (231212322), we get a palindrome (454424454).

The spelling of 223212132 in words is "two hundred twenty-three million, two hundred twelve thousand, one hundred thirty-two".