223385760 has 144 divisors (see below), whose sum is σ = 821011464. Its totient is φ = 54982656.

The previous prime is 223385759. The next prime is 223385777. The reversal of 223385760 is 67583322.

It can be written as a sum of positive squares in 4 ways, for example, as 177742224 + 45643536 = 13332^2 + 6756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 12754 + ... + 24686.

Almost surely, 2^223385760 is an apocalyptic number.

223385760 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 223385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410505732).

223385760 is an abundant number, since it is smaller than the sum of its proper divisors (597625704).

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

223385760 is a wasteful number, since it uses less digits than its factorization.

223385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11967 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 223385760 is about 14946.0951422102. The cubic root of 223385760 is about 606.7621688131.

The spelling of 223385760 in words is "two hundred twenty-three million, three hundred eighty-five thousand, seven hundred sixty".