223935840 has 240 divisors, whose sum is σ = 813404592. Its totient is φ = 57977856.

The previous prime is 223935827. The next prime is 223935841. The reversal of 223935840 is 48539322.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223935795 and 223935804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223935841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479287 + ... + 479753.

Almost surely, 2^223935840 is an apocalyptic number.

223935840 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 223935840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406702296).

223935840 is an abundant number, since it is smaller than the sum of its proper divisors (589468752).

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

223935840 is a wasteful number, since it uses less digits than its factorization.

223935840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 223935840 is about 14964.4859584284. The cubic root of 223935840 is about 607.2598044487.

The spelling of 223935840 in words is "two hundred twenty-three million, nine hundred thirty-five thousand, eight hundred forty".