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238228929 = 32229115589
BaseRepresentation
bin11100011001100…
…01010111000001
3121121021021122200
432030301113001
5441441311204
635350023413
75621624661
oct1614612701
9547237580
10238228929
11112523a14
1267947b69
133a480983
14238d41a1
1515dab539
hexe3315c1

238228929 has 12 divisors (see below), whose sum is σ = 345614100. Its totient is φ = 158124384.

The previous prime is 238228919. The next prime is 238228931. The reversal of 238228929 is 929822832.

It can be written as a sum of positive squares in 2 ways, for example, as 216884529 + 21344400 = 14727^2 + 4620^2 .

It is not a de Polignac number, because 238228929 - 225 = 204674497 is a prime.

It is a super-2 number, since 2×2382289292 = 113506045224974082, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (238228919) 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 11 ways as a sum of consecutive naturals, for example, 55734 + ... + 59855.

It is an arithmetic number, because the mean of its divisors is an integer number (28801175).

Almost surely, 2238228929 is an apocalyptic number.

It is an amenable number.

238228929 is a deficient number, since it is larger than the sum of its proper divisors (107385171).

238228929 is a wasteful number, since it uses less digits than its factorization.

238228929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115824 (or 115821 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 238228929 is about 15434.6664686996. Note that the first 3 decimals coincide. The cubic root of 238228929 is about 619.9140784505.

The spelling of 238228929 in words is "two hundred thirty-eight million, two hundred twenty-eight thousand, nine hundred twenty-nine".

Divisors: 1 3 9 229 687 2061 115589 346767 1040301 26469881 79409643 238228929