223229952 has 192 divisors, whose sum is σ = 723340800. Its totient is φ = 67461120.

The previous prime is 223229939. The next prime is 223229971. The reversal of 223229952 is 259922322.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×223229952³ (a number of 26 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608073 + ... + 608439.

It is an arithmetic number, because the mean of its divisors is an integer number (3767400).

Almost surely, 2^223229952 is an apocalyptic number.

223229952 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 223229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361670400).

223229952 is an abundant number, since it is smaller than the sum of its proper divisors (500110848).

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

223229952 is a wasteful number, since it uses less digits than its factorization.

223229952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 223229952 is about 14940.8819016817. The cubic root of 223229952 is about 606.6210670284.

The spelling of 223229952 in words is "two hundred twenty-three million, two hundred twenty-nine thousand, nine hundred fifty-two".