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2286912 = 26343277
BaseRepresentation
bin1000101110010101000000
311022012001110
420232111000
51041140122
6121003320
725303245
oct10562500
94265043
102286912
111322211
12923540
13620c04
144375cc
1530290c
hex22e540

2286912 has 56 divisors (see below), whose sum is σ = 6213856. Its totient is φ = 741888.

The previous prime is 2286883. The next prime is 2286953. The reversal of 2286912 is 2196822.

It is a self number, because there is not a number n which added to its sum of digits gives 2286912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8118 + ... + 8394.

22286912 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 2286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106928).

2286912 is an abundant number, since it is smaller than the sum of its proper divisors (3926944).

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

2286912 is a wasteful number, since it uses less digits than its factorization.

2286912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2286912 is about 1512.2539469282. The cubic root of 2286912 is about 131.7497554566.

It can be divided in two parts, 228 and 6912, that added together give a triangular number (7140 = T119).

The spelling of 2286912 in words is "two million, two hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 277 344 516 554 688 831 1032 1108 1376 1662 2064 2216 2752 3324 4128 4432 6648 8256 8864 11911 13296 17728 23822 26592 35733 47644 53184 71466 95288 142932 190576 285864 381152 571728 762304 1143456 2286912