Search a number
-
+
2252233 is a prime number
BaseRepresentation
bin1000100101110111001001
311020102111001
420211313021
51034032413
6120135001
725100164
oct10456711
94212431
102252233
1112a9155
12907461
1360b1a9
14428adb
152e74dd
hex225dc9

2252233 has 2 divisors, whose sum is σ = 2252234. Its totient is φ = 2252232.

The previous prime is 2252231. The next prime is 2252251. The reversal of 2252233 is 3322522.

2252233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1411344 + 840889 = 1188^2 + 917^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252233 - 21 = 2252231 is a prime.

Together with 2252231, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 28 + 210 + 57 + 214 + 221 + 35 + 310 .

2252233 is a lucky number.

It is equal to p166222 and since 2252233 and 166222 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2252233.

It is not a weakly prime, because it can be changed into another prime (2252231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126116 + 1126117.

It is an arithmetic number, because the mean of its divisors is an integer number (1126117).

22252233 is an apocalyptic number.

It is an amenable number.

2252233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252233 is an equidigital number, since it uses as much as digits as its factorization.

2252233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 19.

The square root of 2252233 is about 1500.7441487475. The cubic root of 2252233 is about 131.0804043818.

Adding to 2252233 its reverse (3322522), we get a palindrome (5574755).

It can be divided in two parts, 2252 and 233, that added together give a triangular number (2485 = T70).

The spelling of 2252233 in words is "two million, two hundred fifty-two thousand, two hundred thirty-three".