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2261889 = 327223223
BaseRepresentation
bin1000101000001110000001
311020220201200
420220032001
51034340024
6120251413
725140300
oct10501601
94226650
102261889
111305433
12910b69
136126c6
1442c437
152ea2c9
hex228381

2261889 has 36 divisors (see below), whose sum is σ = 3983616. Its totient is φ = 1230768.

The previous prime is 2261887. The next prime is 2261891. The reversal of 2261889 is 9881622.

It is an interprime number because it is at equal distance from previous prime (2261887) and next prime (2261891).

It is not a de Polignac number, because 2261889 - 21 = 2261887 is a prime.

It is a super-2 number, since 2×22618892 = 10232283696642, which contains 22 as substring.

Its product of digits (13824) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (2261887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10032 + ... + 10254.

It is an arithmetic number, because the mean of its divisors is an integer number (110656).

22261889 is an apocalyptic number.

It is an amenable number.

2261889 is a deficient number, since it is larger than the sum of its proper divisors (1721727).

2261889 is a wasteful number, since it uses less digits than its factorization.

2261889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2261889 is about 1503.9577786627. The cubic root of 2261889 is about 131.2674643427.

The spelling of 2261889 in words is "two million, two hundred sixty-one thousand, eight hundred eighty-nine".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 223 441 483 669 1127 1449 1561 2007 3381 4683 5129 10143 10927 14049 15387 32781 35903 46161 98343 107709 251321 323127 753963 2261889