224834520 has 128 divisors (see below), whose sum is σ = 718502400. Its totient is φ = 56088576.

The previous prime is 224834509. The next prime is 224834527. The reversal of 224834520 is 25438422.

It is a super-2 number, since 2×224834520² = 101101122767260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224834527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626101 + ... + 626459.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2^224834520 is an apocalyptic number.

224834520 is a gapful number since it is divisible by the number (20) 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 224834520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

224834520 is an abundant number, since it is smaller than the sum of its proper divisors (493667880).

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

224834520 is a wasteful number, since it uses less digits than its factorization.

224834520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 224834520 is about 14994.4829854183. The cubic root of 224834520 is about 608.0710544267.

The spelling of 224834520 in words is "two hundred twenty-four million, eight hundred thirty-four thousand, five hundred twenty".