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2245887 = 34717233
BaseRepresentation
bin1000100100010011111111
311020002210000
420210103333
51033332022
6120045343
725042530
oct10442377
94202700
102245887
1112a4406
12903853
13608337
14426687
152e56ac
hex2244ff

2245887 has 40 divisors (see below), whose sum is σ = 4077216. Its totient is φ = 1202688.

The previous prime is 2245871. The next prime is 2245889. The reversal of 2245887 is 7885422.

It is a happy number.

It is not a de Polignac number, because 2245887 - 24 = 2245871 is a prime.

It is a super-3 number, since 3×22458873 = 33984818793336237309, which contains 333 as substring.

2245887 is a lucky number.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245889) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9523 + ... + 9755.

22245887 is an apocalyptic number.

2245887 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2245887 is a deficient number, since it is larger than the sum of its proper divisors (1831329).

2245887 is a wasteful number, since it uses less digits than its factorization.

2245887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2245887 is about 1498.6283728797. The cubic root of 2245887 is about 130.9571757541.

The spelling of 2245887 in words is "two million, two hundred forty-five thousand, eight hundred eighty-seven".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 233 357 459 567 699 1071 1377 1631 2097 3213 3961 4893 6291 9639 11883 14679 18873 27727 35649 44037 83181 106947 132111 249543 320841 748629 2245887