Search a number
-
+
146208833 is a prime number
BaseRepresentation
bin10001011011011…
…11100001000001
3101012010011210222
420231233201001
5244412140313
622301432425
73423516551
oct1055574101
9335104728
10146208833
1175592951
1240b6b715
13243a2404
14155bd161
15cc81208
hex8b6f841

146208833 has 2 divisors, whose sum is σ = 146208834. Its totient is φ = 146208832.

The previous prime is 146208773. The next prime is 146208841. The reversal of 146208833 is 338802641.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132871729 + 13337104 = 11527^2 + 3652^2 .

It is an emirp because it is prime and its reverse (338802641) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146208833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146208793 and 146208802.

It is not a weakly prime, because it can be changed into another prime (146208883) 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 as a sum of consecutive naturals, namely, 73104416 + 73104417.

It is an arithmetic number, because the mean of its divisors is an integer number (73104417).

Almost surely, 2146208833 is an apocalyptic number.

It is an amenable number.

146208833 is a deficient number, since it is larger than the sum of its proper divisors (1).

146208833 is an equidigital number, since it uses as much as digits as its factorization.

146208833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 146208833 is about 12091.6844566834. The cubic root of 146208833 is about 526.8146823110.

The spelling of 146208833 in words is "one hundred forty-six million, two hundred eight thousand, eight hundred thirty-three".