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2149119 = 33783137
BaseRepresentation
bin1000001100101011111111
311001012001000
420030223333
51022232434
6114021343
724160440
oct10145377
94035030
102149119
111238735
12877853
135a328b
143dd2c7
152c6b99
hex20caff

2149119 has 32 divisors (see below), whose sum is σ = 3709440. Its totient is φ = 1204416.

The previous prime is 2149117. The next prime is 2149127. The reversal of 2149119 is 9119412.

It is not a de Polignac number, because 2149119 - 21 = 2149117 is a prime.

It is a super-2 number, since 2×21491192 = 9237424952322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2149092 and 2149101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149111) 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 31 ways as a sum of consecutive naturals, for example, 15619 + ... + 15755.

It is an arithmetic number, because the mean of its divisors is an integer number (115920).

22149119 is an apocalyptic number.

2149119 is a deficient number, since it is larger than the sum of its proper divisors (1560321).

2149119 is a wasteful number, since it uses less digits than its factorization.

2149119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 2149119 is about 1465.9873805732. The cubic root of 2149119 is about 129.0486566047.

2149119 divided by its sum of digits (27) gives a palindrome (79597).

The spelling of 2149119 in words is "two million, one hundred forty-nine thousand, one hundred nineteen".

Divisors: 1 3 7 9 21 27 63 83 137 189 249 411 581 747 959 1233 1743 2241 2877 3699 5229 8631 11371 15687 25893 34113 79597 102339 238791 307017 716373 2149119