224564340 has 192 divisors, whose sum is σ = 844462080. Its totient is φ = 43061760.

The previous prime is 224564317. The next prime is 224564357. The reversal of 224564340 is 43465422.

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 = 224564298 and 224564307.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 58191 + ... + 61929.

It is an arithmetic number, because the mean of its divisors is an integer number (4398240).

Almost surely, 2^224564340 is an apocalyptic number.

224564340 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 224564340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422231040).

224564340 is an abundant number, since it is smaller than the sum of its proper divisors (619897740).

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

224564340 is a wasteful number, since it uses less digits than its factorization.

224564340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 224564340 is about 14985.4709635700. The cubic root of 224564340 is about 607.8273870854.

It can be divided in two parts, 22456 and 4340, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 224564340 in words is "two hundred twenty-four million, five hundred sixty-four thousand, three hundred forty".