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2257112 = 2311131973
BaseRepresentation
bin1000100111000011011000
311020200011202
420213003120
51034211422
6120213332
725120334
oct10470330
94220152
102257112
111301890
1290a248
13610490
1442a7c4
152e8b92
hex2270d8

2257112 has 32 divisors (see below), whose sum is σ = 4974480. Its totient is φ = 946560.

The previous prime is 2257103. The next prime is 2257117. The reversal of 2257112 is 2117522.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158 + ... + 2130.

22257112 is an apocalyptic number.

2257112 is a gapful number since it is divisible by the number (22) 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 2257112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487240).

2257112 is an abundant number, since it is smaller than the sum of its proper divisors (2717368).

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

2257112 is a wasteful number, since it uses less digits than its factorization.

2257112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1999 counting only the distinct ones).

The product of its digits is 280, while the sum is 20.

The square root of 2257112 is about 1502.3687962681. The cubic root of 2257112 is about 131.1749890357.

It can be divided in two parts, 225 and 7112, that added together give a palindrome (7337).

The spelling of 2257112 in words is "two million, two hundred fifty-seven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1973 3946 7892 15784 21703 25649 43406 51298 86812 102596 173624 205192 282139 564278 1128556 2257112