224282268 has 72 divisors (see below), whose sum is σ = 655794048. Its totient is φ = 63302688.

The previous prime is 224282257. The next prime is 224282297. The reversal of 224282268 is 862282422.

224282268 is a `hidden beast` number, since 2 + 2 + 428 + 226 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15555 + ... + 26277.

Almost surely, 2^224282268 is an apocalyptic number.

224282268 is a gapful number since it is divisible by the number (28) 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 224282268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327897024).

224282268 is an abundant number, since it is smaller than the sum of its proper divisors (431511780).

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

224282268 is a wasteful number, since it uses less digits than its factorization.

224282268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10823 (or 10818 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 224282268 is about 14976.0564902781. The cubic root of 224282268 is about 607.5727860765.

The spelling of 224282268 in words is "two hundred twenty-four million, two hundred eighty-two thousand, two hundred sixty-eight".