225143424 has 192 divisors, whose sum is σ = 717631200. Its totient is φ = 67184640.

The previous prime is 225143419. The next prime is 225143431. The reversal of 225143424 is 424341522.

225143424 is a `hidden beast` number, since 225 + 1 + 434 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×225143424² = 101379122740887552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1381167 + ... + 1381329.

Almost surely, 2^225143424 is an apocalyptic number.

225143424 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 225143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358815600).

225143424 is an abundant number, since it is smaller than the sum of its proper divisors (492487776).

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

225143424 is a wasteful number, since it uses less digits than its factorization.

225143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 225143424 is about 15004.7800383744. The cubic root of 225143424 is about 608.3494067353.

Adding to 225143424 its reverse (424341522), we get a palindrome (649484946).

The spelling of 225143424 in words is "two hundred twenty-five million, one hundred forty-three thousand, four hundred twenty-four".