226964241 has 16 divisors (see below), whose sum is σ = 384278400. Its totient is φ = 129693744.

The previous prime is 226964239. The next prime is 226964249. The reversal of 226964241 is 142469622.

226964241 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 642 + 4 + 1 = 666.

It is not a de Polignac number, because 226964241 - 2¹ = 226964239 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 226964196 and 226964205.

It is not an unprimeable number, because it can be changed into a prime (226964249) 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, 600246 + ... + 600623.

It is an arithmetic number, because the mean of its divisors is an integer number (24017400).

Almost surely, 2^226964241 is an apocalyptic number.

226964241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

226964241 is a deficient number, since it is larger than the sum of its proper divisors (157314159).

226964241 is a wasteful number, since it uses less digits than its factorization.

226964241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200885 (or 1200879 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 226964241 is about 15065.3324224857. The cubic root of 226964241 is about 609.9849866412.

The spelling of 226964241 in words is "two hundred twenty-six million, nine hundred sixty-four thousand, two hundred forty-one".