224640816 has 80 divisors (see below), whose sum is σ = 614793984. Its totient is φ = 70532352.

The previous prime is 224640809. The next prime is 224640817. The reversal of 224640816 is 618046422.

It is not an unprimeable number, because it can be changed into a prime (224640817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72450 + ... + 75486.

Almost surely, 2^224640816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224640816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307396992).

224640816 is an abundant number, since it is smaller than the sum of its proper divisors (390153168).

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

224640816 is a wasteful number, since it uses less digits than its factorization.

224640816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 224640816 is about 14988.0224179176. The cubic root of 224640816 is about 607.8963783472.

It can be divided in two parts, 224640 and 816, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 224640816 in words is "two hundred twenty-four million, six hundred forty thousand, eight hundred sixteen".