Search a number
-
+
2274360 = 2335111723
BaseRepresentation
bin1000101011010000111000
311021112211120
420223100320
51040234420
6120425240
725221534
oct10532070
94245746
102274360
111313840
12918220
1361829a
14432bc4
152edd40
hex22b438

2274360 has 64 divisors (see below), whose sum is σ = 7447680. Its totient is φ = 551040.

The previous prime is 2274347. The next prime is 2274361. The reversal of 2274360 is 634722.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 25 + 221 + 7 + 42 + 311 + 6 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2274360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459 + ... + 2181.

It is an arithmetic number, because the mean of its divisors is an integer number (116370).

22274360 is an apocalyptic number.

2274360 is a gapful number since it is divisible by the number (20) 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 2274360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723840).

2274360 is an abundant number, since it is smaller than the sum of its proper divisors (5173320).

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

2274360 is a wasteful number, since it uses less digits than its factorization.

2274360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2274360 is about 1508.0981400426. The cubic root of 2274360 is about 131.5082714898.

The spelling of 2274360 in words is "two million, two hundred seventy-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1723 3446 5169 6892 8615 10338 13784 17230 18953 20676 25845 34460 37906 41352 51690 56859 68920 75812 94765 103380 113718 151624 189530 206760 227436 284295 379060 454872 568590 758120 1137180 2274360