224275968 has 240 divisors, whose sum is σ = 785172960. Its totient is φ = 60162048.

The previous prime is 224275957. The next prime is 224275969. The reversal of 224275968 is 869572422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224275969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548148 + ... + 548556.

It is an arithmetic number, because the mean of its divisors is an integer number (3271554).

Almost surely, 2^224275968 is an apocalyptic number.

224275968 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 224275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392586480).

224275968 is an abundant number, since it is smaller than the sum of its proper divisors (560896992).

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

224275968 is a wasteful number, since it uses less digits than its factorization.

224275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 224275968 is about 14975.8461530559. The cubic root of 224275968 is about 607.5670971970.

It can be divided in two parts, 2242 and 75968, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 224275968 in words is "two hundred twenty-four million, two hundred seventy-five thousand, nine hundred sixty-eight".