Search a number
-
+
233023829 is a prime number
BaseRepresentation
bin11011110001110…
…10100101010101
3121020110211121012
431320322211111
5434123230304
635042302005
75526445523
oct1570724525
9536424535
10233023829
1110a599285
1266057905
133937a72c
1422d3b313
15156ce16e
hexde3a955

233023829 has 2 divisors, whose sum is σ = 233023830. Its totient is φ = 233023828.

The previous prime is 233023823. The next prime is 233023831. The reversal of 233023829 is 928320332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193961329 + 39062500 = 13927^2 + 6250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233023829 is a prime.

Together with 233023831, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 233023795 and 233023804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233023823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116511914 + 116511915.

It is an arithmetic number, because the mean of its divisors is an integer number (116511915).

Almost surely, 2233023829 is an apocalyptic number.

It is an amenable number.

233023829 is a deficient number, since it is larger than the sum of its proper divisors (1).

233023829 is an equidigital number, since it uses as much as digits as its factorization.

233023829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 233023829 is about 15265.1180473654. The cubic root of 233023829 is about 615.3659258398.

The spelling of 233023829 in words is "two hundred thirty-three million, twenty-three thousand, eight hundred twenty-nine".