223633040 has 80 divisors (see below), whose sum is σ = 551214720. Its totient is φ = 84142080.

The previous prime is 223633037. The next prime is 223633061. The reversal of 223633040 is 40336322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 223632997 and 223633015.

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 15 ways as a sum of consecutive naturals, for example, 253400 + ... + 254280.

It is an arithmetic number, because the mean of its divisors is an integer number (6890184).

Almost surely, 2^223633040 is an apocalyptic number.

223633040 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 223633040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

223633040 is an abundant number, since it is smaller than the sum of its proper divisors (327581680).

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

223633040 is a wasteful number, since it uses less digits than its factorization.

223633040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 223633040 is about 14954.3652489833. The cubic root of 223633040 is about 606.9859742160.

Adding to 223633040 its reverse (40336322), we get a palindrome (263969362).

The spelling of 223633040 in words is "two hundred twenty-three million, six hundred thirty-three thousand, forty".