224455140 has 288 divisors, whose sum is σ = 854171136. Its totient is φ = 46448640.

The previous prime is 224455139. The next prime is 224455163. The reversal of 224455140 is 41554422.

224455140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1162884 + ... + 1163076.

It is an arithmetic number, because the mean of its divisors is an integer number (2965872).

Almost surely, 2^224455140 is an apocalyptic number.

224455140 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 224455140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427085568).

224455140 is an abundant number, since it is smaller than the sum of its proper divisors (629715996).

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

224455140 is a wasteful number, since it uses less digits than its factorization.

224455140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 224455140 is about 14981.8269913919. The cubic root of 224455140 is about 607.7288473791.

The spelling of 224455140 in words is "two hundred twenty-four million, four hundred fifty-five thousand, one hundred forty".