228826129 has 9 divisors (see below), whose sum is σ = 266308731. Its totient is φ = 196045920.

The previous prime is 228826121. The next prime is 228826141. The reversal of 228826129 is 921628822.

It is a happy number.

The square root of 228826129 is 15127.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 143448529 + 85377600 = 11977^2 + 9240^2 .

It is not a de Polignac number, because 228826129 - 2³ = 228826121 is a prime.

It is a super-2 number, since 2×228826129² = 104722794626249282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 228826091 and 228826100.

It is not an unprimeable number, because it can be changed into a prime (228826121) 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 8 ways as a sum of consecutive naturals, for example, 104809 + ... + 106969.

It is an arithmetic number, because the mean of its divisors is an integer number (29589859).

Almost surely, 2^228826129 is an apocalyptic number.

228826129 is the 15127-th square number.

228826129 is the 7564-th centered octagonal number.

It is an amenable number.

228826129 is a deficient number, since it is larger than the sum of its proper divisors (37482602).

228826129 is an frugal number, since it uses more digits than its factorization.

228826129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 2168 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The cubic root of 228826129 is about 611.6484383873.

The spelling of 228826129 in words is "two hundred twenty-eight million, eight hundred twenty-six thousand, one hundred twenty-nine".