223492640 has 192 divisors, whose sum is σ = 642152448. Its totient is φ = 71884800.

The previous prime is 223492631. The next prime is 223492663. The reversal of 223492640 is 46294322.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 223492597 and 223492606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1423442 + ... + 1423598.

It is an arithmetic number, because the mean of its divisors is an integer number (3344544).

Almost surely, 2^223492640 is an apocalyptic number.

223492640 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 223492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321076224).

223492640 is an abundant number, since it is smaller than the sum of its proper divisors (418659808).

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

223492640 is a wasteful number, since it uses less digits than its factorization.

223492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 223492640 is about 14949.6702304767. The cubic root of 223492640 is about 606.8589228178.

The spelling of 223492640 in words is "two hundred twenty-three million, four hundred ninety-two thousand, six hundred forty".