Search a number
-
+
2274688 = 27131367
BaseRepresentation
bin1000101011010110000000
311021120021201
420223112000
51040242223
6120430544
725222513
oct10532600
94246251
102274688
111314009
12918454
13618490
14432d7a
152edead
hex22b580

2274688 has 32 divisors (see below), whose sum is σ = 4883760. Its totient is φ = 1049088.

The previous prime is 2274683. The next prime is 2274689. The reversal of 2274688 is 8864722.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 981 + ... + 2347.

22274688 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 2274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441880).

2274688 is an abundant number, since it is smaller than the sum of its proper divisors (2609072).

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

2274688 is a wasteful number, since it uses less digits than its factorization.

2274688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1382 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 2274688 is about 1508.2068823606. The cubic root of 2274688 is about 131.5145930689.

The spelling of 2274688 in words is "two million, two hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1367 1664 2734 5468 10936 17771 21872 35542 43744 71084 87488 142168 174976 284336 568672 1137344 2274688