224148519 has 32 divisors (see below), whose sum is σ = 401840640. Its totient is φ = 120548736.

The previous prime is 224148503. The next prime is 224148521. The reversal of 224148519 is 915841422.

It is not a de Polignac number, because 224148519 - 2⁴ = 224148503 is a prime.

It is a super-2 number, since 2×224148519² = 100485117139786722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224148619) 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, 31669 + ... + 38094.

It is an arithmetic number, because the mean of its divisors is an integer number (12557520).

Almost surely, 2^224148519 is an apocalyptic number.

224148519 is a deficient number, since it is larger than the sum of its proper divisors (177692121).

224148519 is a wasteful number, since it uses less digits than its factorization.

224148519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69796 (or 69790 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 224148519 is about 14971.5903964809. The cubic root of 224148519 is about 607.4519882800.

It can be divided in two parts, 22414851 and 9, that added together give a triangular number (22414860 = T₆₆₉₅).

The spelling of 224148519 in words is "two hundred twenty-four million, one hundred forty-eight thousand, five hundred nineteen".