223534080 has 660 divisors, whose sum is σ = 1016507448. Its totient is φ = 46448640.

The previous prime is 223534061. The next prime is 223534111. The reversal of 223534080 is 80435322.

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321275 + ... + 20321285.

Almost surely, 2^223534080 is an apocalyptic number.

223534080 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 223534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508253724).

223534080 is an abundant number, since it is smaller than the sum of its proper divisors (792973368).

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

223534080 is a wasteful number, since it uses less digits than its factorization.

223534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 223534080 is about 14951.0561499849. The cubic root of 223534080 is about 606.8964284221.

It can be divided in two parts, 2235 and 34080, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 223534080 in words is "two hundred twenty-three million, five hundred thirty-four thousand, eighty".