224129664 has 192 divisors, whose sum is σ = 735134400. Its totient is φ = 64880640.

The previous prime is 224129663. The next prime is 224129693. The reversal of 224129664 is 466921422.

224129664 is digitally balanced in base 2, because in such base 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 (192).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (224129663) 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, 291072 + ... + 291840.

It is an arithmetic number, because the mean of its divisors is an integer number (3828825).

Almost surely, 2^224129664 is an apocalyptic number.

224129664 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 224129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367567200).

224129664 is an abundant number, since it is smaller than the sum of its proper divisors (511004736).

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

224129664 is a wasteful number, since it uses less digits than its factorization.

224129664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 808 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 224129664 is about 14970.9606906170. The cubic root of 224129664 is about 607.4349551860.

The spelling of 224129664 in words is "two hundred twenty-four million, one hundred twenty-nine thousand, six hundred sixty-four".