Search a number
-
+
233192129 is a prime number
BaseRepresentation
bin11011110011000…
…11101011000001
3121020210101110112
431321203223001
5434144122004
635050041105
75531046302
oct1571435301
9536711415
10233192129
1110a6a3775
1266119195
1339409211
1422d827a9
1515713e6e
hexde63ac1

233192129 has 2 divisors, whose sum is σ = 233192130. Its totient is φ = 233192128.

The previous prime is 233192123. The next prime is 233192159. The reversal of 233192129 is 921291332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213832129 + 19360000 = 14623^2 + 4400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233192129 is a prime.

It is equal to p12808292 and since 233192129 and 12808292 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 233192095 and 233192104.

It is not a weakly prime, because it can be changed into another prime (233192123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116596064 + 116596065.

It is an arithmetic number, because the mean of its divisors is an integer number (116596065).

Almost surely, 2233192129 is an apocalyptic number.

It is an amenable number.

233192129 is a deficient number, since it is larger than the sum of its proper divisors (1).

233192129 is an equidigital number, since it uses as much as digits as its factorization.

233192129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 32.

The square root of 233192129 is about 15270.6296202874. The cubic root of 233192129 is about 615.5140382488.

The spelling of 233192129 in words is "two hundred thirty-three million, one hundred ninety-two thousand, one hundred twenty-nine".