224895840 has 192 divisors, whose sum is σ = 796594176. Its totient is φ = 52918272.

The previous prime is 224895833. The next prime is 224895859. The reversal of 224895840 is 48598422.

224895840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224895792 and 224895801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142737 + ... + 144303.

It is an arithmetic number, because the mean of its divisors is an integer number (4148928).

Almost surely, 2^224895840 is an apocalyptic number.

224895840 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 224895840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398297088).

224895840 is an abundant number, since it is smaller than the sum of its proper divisors (571698336).

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

224895840 is a wasteful number, since it uses less digits than its factorization.

224895840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 224895840 is about 14996.5275980808. The cubic root of 224895840 is about 608.1263299359.

The spelling of 224895840 in words is "two hundred twenty-four million, eight hundred ninety-five thousand, eight hundred forty".