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2257086 = 2313191523
BaseRepresentation
bin1000100111000010111110
311020200010210
420213002332
51034211321
6120213250
725120266
oct10470276
94220123
102257086
111301867
1290a226
13610470
1442a7a6
152e8b76
hex2270be

2257086 has 32 divisors (see below), whose sum is σ = 5120640. Its totient is φ = 657504.

The previous prime is 2257069. The next prime is 2257097. The reversal of 2257086 is 6807522.

2257086 = T135 + T136 + ... + T251.

2257086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22570862 = 10188874422792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721 + ... + 2243.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

22257086 is an apocalyptic number.

2257086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560320).

2257086 is an abundant number, since it is smaller than the sum of its proper divisors (2863554).

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

2257086 is a wasteful number, since it uses less digits than its factorization.

2257086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2257086 is about 1502.3601432413. The cubic root of 2257086 is about 131.1744853592.

The spelling of 2257086 in words is "two million, two hundred fifty-seven thousand, eighty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 1523 3046 4569 9138 19799 28937 39598 57874 59397 86811 118794 173622 376181 752362 1128543 2257086