Search a number
-
+
219007933 is a prime number
BaseRepresentation
bin11010000110111…
…00101110111101
3120021002202101221
431003130232331
5422031223213
633422033341
75266352044
oct1503345675
9507082357
10219007933
111026959a1
1261418851
13364b0cc1
142112d55b
151436138d
hexd0dcbbd

219007933 has 2 divisors, whose sum is σ = 219007934. Its totient is φ = 219007932.

The previous prime is 219007891. The next prime is 219007951. The reversal of 219007933 is 339700912.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143352729 + 75655204 = 11973^2 + 8698^2 .

It is a cyclic number.

It is not a de Polignac number, because 219007933 - 213 = 218999741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (219002933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109503966 + 109503967.

It is an arithmetic number, because the mean of its divisors is an integer number (109503967).

Almost surely, 2219007933 is an apocalyptic number.

It is an amenable number.

219007933 is a deficient number, since it is larger than the sum of its proper divisors (1).

219007933 is an equidigital number, since it uses as much as digits as its factorization.

219007933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 219007933 is about 14798.9166157527. The cubic root of 219007933 is about 602.7722940624.

The spelling of 219007933 in words is "two hundred nineteen million, seven thousand, nine hundred thirty-three".