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2290869 = 337172331
BaseRepresentation
bin1000101111010010110101
311022101111000
420233102311
51041301434
6121033513
725320630
oct10572265
94271430
102290869
111325189
12925899
13622959
14438c17
15303b99
hex22f4b5

2290869 has 64 divisors (see below), whose sum is σ = 4423680. Its totient is φ = 1140480.

The previous prime is 2290861. The next prime is 2290889. The reversal of 2290869 is 9680922.

It is not a de Polignac number, because 2290869 - 23 = 2290861 is a prime.

It is a super-2 number, since 2×22908692 = 10496161550322, which contains 22 as substring.

2290869 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73884 + ... + 73914.

It is an arithmetic number, because the mean of its divisors is an integer number (69120).

22290869 is an apocalyptic number.

It is an amenable number.

2290869 is a deficient number, since it is larger than the sum of its proper divisors (2132811).

2290869 is a wasteful number, since it uses less digits than its factorization.

2290869 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2290869 is about 1513.5616934899. The cubic root of 2290869 is about 131.8256996973.

The spelling of 2290869 in words is "two million, two hundred ninety thousand, eight hundred sixty-nine".

Divisors: 1 3 7 9 17 21 23 27 31 51 63 69 93 119 153 161 189 207 217 279 357 391 459 483 527 621 651 713 837 1071 1173 1449 1581 1953 2139 2737 3213 3519 3689 4347 4743 4991 5859 6417 8211 10557 11067 12121 14229 14973 19251 24633 33201 36363 44919 73899 84847 99603 109089 134757 254541 327267 763623 2290869