224151320 has 64 divisors (see below), whose sum is σ = 514887840. Its totient is φ = 87808000.

The previous prime is 224151313. The next prime is 224151329. The reversal of 224151320 is 23151422.

224151320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×224151320³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224151292 and 224151301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224151329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456275 + ... + 456765.

Almost surely, 2^224151320 is an apocalyptic number.

224151320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224151320 is an abundant number, since it is smaller than the sum of its proper divisors (290736520).

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

224151320 is a wasteful number, since it uses less digits than its factorization.

224151320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 224151320 is about 14971.6839400249. The cubic root of 224151320 is about 607.4545185457.

The spelling of 224151320 in words is "two hundred twenty-four million, one hundred fifty-one thousand, three hundred twenty".