224117664 has 96 divisors (see below), whose sum is σ = 630322560. Its totient is φ = 69476352.

The previous prime is 224117633. The next prime is 224117669. The reversal of 224117664 is 466711422.

224117664 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (224117669) 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, 144477 + ... + 146019.

It is an arithmetic number, because the mean of its divisors is an integer number (6565860).

Almost surely, 2^224117664 is an apocalyptic number.

224117664 is a gapful number since it is divisible by the number (24) 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 224117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315161280).

224117664 is an abundant number, since it is smaller than the sum of its proper divisors (406204896).

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

224117664 is a wasteful number, since it uses less digits than its factorization.

224117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 224117664 is about 14970.5599093688. The cubic root of 224117664 is about 607.4241142150.

The spelling of 224117664 in words is "two hundred twenty-four million, one hundred seventeen thousand, six hundred sixty-four".