223435680 has 192 divisors, whose sum is σ = 771700608. Its totient is φ = 54005760.

The previous prime is 223435669. The next prime is 223435727. The reversal of 223435680 is 86534322.

It is a happy number.

It is an unprimeable number.

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, 380347 + ... + 380933.

It is an arithmetic number, because the mean of its divisors is an integer number (4019274).

Almost surely, 2^223435680 is an apocalyptic number.

223435680 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 223435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385850304).

223435680 is an abundant number, since it is smaller than the sum of its proper divisors (548264928).

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

223435680 is a wasteful number, since it uses less digits than its factorization.

223435680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 223435680 is about 14947.7650503344. The cubic root of 223435680 is about 606.8073631464.

It can be divided in two parts, 223435 and 680, that added together give a triangular number (224115 = T₆₆₉).

The spelling of 223435680 in words is "two hundred twenty-three million, four hundred thirty-five thousand, six hundred eighty".