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2265536 = 26713389
BaseRepresentation
bin1000101001000111000000
311021002201202
420221013000
51034444121
6120320332
725154030
oct10510700
94232652
102265536
111308149
129130a8
13614270
1442d8c0
152eb40b
hex2291c0

2265536 has 56 divisors (see below), whose sum is σ = 5547360. Its totient is φ = 893952.

The previous prime is 2265521. The next prime is 2265551. The reversal of 2265536 is 6355622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2265521) and next prime (2265551).

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2265499 and 2265508.

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, 5630 + ... + 6018.

It is an arithmetic number, because the mean of its divisors is an integer number (99060).

22265536 is an apocalyptic number.

2265536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773680).

2265536 is an abundant number, since it is smaller than the sum of its proper divisors (3281824).

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

2265536 is a wasteful number, since it uses less digits than its factorization.

2265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 2265536 is about 1505.1697578679. The cubic root of 2265536 is about 131.3379769946.

The spelling of 2265536 in words is "two million, two hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 389 416 448 728 778 832 1456 1556 2723 2912 3112 5057 5446 5824 6224 10114 10892 12448 20228 21784 24896 35399 40456 43568 70798 80912 87136 141596 161824 174272 283192 323648 566384 1132768 2265536