225968919 has 32 divisors (see below), whose sum is σ = 349440000. Its totient is φ = 128446560.

The previous prime is 225968893. The next prime is 225968923. The reversal of 225968919 is 919869522.

It is not a de Polignac number, because 225968919 - 2¹³ = 225960727 is a prime.

It is a super-2 number, since 2×225968919² = 102123904708057122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225968929) 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 31 ways as a sum of consecutive naturals, for example, 62832 + ... + 66330.

It is an arithmetic number, because the mean of its divisors is an integer number (10920000).

Almost surely, 2^225968919 is an apocalyptic number.

225968919 is a deficient number, since it is larger than the sum of its proper divisors (123471081).

225968919 is a wasteful number, since it uses less digits than its factorization.

225968919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635.

The product of its digits is 699840, while the sum is 51.

The square root of 225968919 is about 15032.2626041458. The cubic root of 225968919 is about 609.0920102244.

The spelling of 225968919 in words is "two hundred twenty-five million, nine hundred sixty-eight thousand, nine hundred nineteen".