224118840 has 128 divisors (see below), whose sum is σ = 757278720. Its totient is φ = 52569600.

The previous prime is 224118787. The next prime is 224118863. The reversal of 224118840 is 48811422.

224118840 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 224118798 and 224118807.

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, 38182 + ... + 43658.

It is an arithmetic number, because the mean of its divisors is an integer number (5916240).

Almost surely, 2^224118840 is an apocalyptic number.

224118840 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 224118840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378639360).

224118840 is an abundant number, since it is smaller than the sum of its proper divisors (533159880).

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

224118840 is a wasteful number, since it uses less digits than its factorization.

224118840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 224118840 is about 14970.5991864053. The cubic root of 224118840 is about 607.4251766473.

The spelling of 224118840 in words is "two hundred twenty-four million, one hundred eighteen thousand, eight hundred forty".