223205880 has 64 divisors (see below), whose sum is σ = 674555040. Its totient is φ = 59082752.

The previous prime is 223205839. The next prime is 223205881. The reversal of 223205880 is 88502322.

It is a super-3 number, since 3×223205880³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223205881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9652 + ... + 23228.

Almost surely, 2^223205880 is an apocalyptic number.

223205880 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 223205880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337277520).

223205880 is an abundant number, since it is smaller than the sum of its proper divisors (451349160).

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

223205880 is a wasteful number, since it uses less digits than its factorization.

223205880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13728 (or 13724 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 223205880 is about 14940.0763050260. The cubic root of 223205880 is about 606.5992612520.

The spelling of 223205880 in words is "two hundred twenty-three million, two hundred five thousand, eight hundred eighty".