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2265296 = 241161211
BaseRepresentation
bin1000101001000011010000
311021002101212
420221003100
51034442141
6120315252
725153235
oct10510320
94232355
102265296
111307a50
12912b28
13614117
1442d78c
152eb2eb
hex2290d0

2265296 has 40 divisors (see below), whose sum is σ = 4889568. Its totient is φ = 1008000.

The previous prime is 2265287. The next prime is 2265323. The reversal of 2265296 is 6925622.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10631 + ... + 10841.

22265296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444784).

2265296 is an abundant number, since it is smaller than the sum of its proper divisors (2624272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2265296 is a wasteful number, since it uses less digits than its factorization.

2265296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 2265296 is about 1505.0900305297. The cubic root of 2265296 is about 131.3333390594. Note that the first 5 decimals are identical.

The spelling of 2265296 in words is "two million, two hundred sixty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 211 244 422 488 671 844 976 1342 1688 2321 2684 3376 4642 5368 9284 10736 12871 18568 25742 37136 51484 102968 141581 205936 283162 566324 1132648 2265296