Search a number
-
+
2216919 = 31722557
BaseRepresentation
bin1000011101001111010111
311011122001010
420131033113
51031420134
6115303303
724562215
oct10351727
94148033
102216919
111284671
128aab33
135c80b3
14419cb5
152dbce9
hex21d3d7

2216919 has 12 divisors (see below), whose sum is σ = 3141224. Its totient is φ = 1390464.

The previous prime is 2216917. The next prime is 2216941. The reversal of 2216919 is 9196122.

It is a happy number.

It is not a de Polignac number, because 2216919 - 21 = 2216917 is a prime.

It is a super-2 number, since 2×22169192 = 9829459705122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216917) 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 in 11 ways as a sum of consecutive naturals, for example, 412 + ... + 2145.

22216919 is an apocalyptic number.

2216919 is a deficient number, since it is larger than the sum of its proper divisors (924305).

2216919 is a wasteful number, since it uses less digits than its factorization.

2216919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2577 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 2216919 is about 1488.9321676960. The cubic root of 2216919 is about 130.3916982872.

It can be divided in two parts, 221 and 6919, that added together give a triangular number (7140 = T119).

The spelling of 2216919 in words is "two million, two hundred sixteen thousand, nine hundred nineteen".

Divisors: 1 3 17 51 289 867 2557 7671 43469 130407 738973 2216919