223251840 has 384 divisors, whose sum is σ = 906984000. Its totient is φ = 50577408.

The previous prime is 223251827. The next prime is 223251851. The reversal of 223251840 is 48152322.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×223251840³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1975624 + ... + 1975736.

Almost surely, 2^223251840 is an apocalyptic number.

223251840 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 223251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453492000).

223251840 is an abundant number, since it is smaller than the sum of its proper divisors (683732160).

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

223251840 is a wasteful number, since it uses less digits than its factorization.

223251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 223251840 is about 14941.6143706094. The cubic root of 223251840 is about 606.6408930536.

The spelling of 223251840 in words is "two hundred twenty-three million, two hundred fifty-one thousand, eight hundred forty".