226258137 has 48 divisors (see below), whose sum is σ = 410491200. Its totient is φ = 122472000.

The previous prime is 226258121. The next prime is 226258147. The reversal of 226258137 is 731852622.

226258137 is a `hidden beast` number, since 22 + 625 + 8 + 1 + 3 + 7 = 666.

It is not a de Polignac number, because 226258137 - 2⁴ = 226258121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226258147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20637 + ... + 29637.

It is an arithmetic number, because the mean of its divisors is an integer number (8551900).

Almost surely, 2^226258137 is an apocalyptic number.

226258137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

226258137 is a deficient number, since it is larger than the sum of its proper divisors (184233063).

226258137 is a wasteful number, since it uses less digits than its factorization.

226258137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9043 (or 9030 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 226258137 is about 15041.8794370916. The cubic root of 226258137 is about 609.3517587349.

The spelling of 226258137 in words is "two hundred twenty-six million, two hundred fifty-eight thousand, one hundred thirty-seven".