Search a number
-
+
225237829 is a prime number
BaseRepresentation
bin11010110110011…
…01101101000101
3120200211021012211
431123031231011
5430130102304
634203343421
75403330025
oct1533155505
9520737184
10225237829
11106160573
1263521b71
133788282b
1421cb1a85
1514b92204
hexd6cdb45

225237829 has 2 divisors, whose sum is σ = 225237830. Its totient is φ = 225237828.

The previous prime is 225237823. The next prime is 225237839. The reversal of 225237829 is 928732522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202293729 + 22944100 = 14223^2 + 4790^2 .

It is a cyclic number.

It is not a de Polignac number, because 225237829 - 23 = 225237821 is a prime.

It is a super-2 number, since 2×2252378292 = 101464159225266482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225237791 and 225237800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225237821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112618914 + 112618915.

It is an arithmetic number, because the mean of its divisors is an integer number (112618915).

Almost surely, 2225237829 is an apocalyptic number.

It is an amenable number.

225237829 is a deficient number, since it is larger than the sum of its proper divisors (1).

225237829 is an equidigital number, since it uses as much as digits as its factorization.

225237829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120960, while the sum is 40.

The square root of 225237829 is about 15007.9255395274. The cubic root of 225237829 is about 608.4344239500.

The spelling of 225237829 in words is "two hundred twenty-five million, two hundred thirty-seven thousand, eight hundred twenty-nine".