[go: up one dir, main page]

Search a number
-
+
2274540 = 2235167227
BaseRepresentation
bin1000101011010011101100
311021120002020
420223103230
51040241130
6120430140
725222212
oct10532354
94246066
102274540
111313994
12918350
136183a8
14432cb2
152ede10
hex22b4ec

2274540 has 48 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 600256.

The previous prime is 2274523. The next prime is 2274541. The reversal of 2274540 is 454722.

2274540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2274540.

It is not an unprimeable number, because it can be changed into a prime (2274541) by changing a digit.

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, 9907 + ... + 10133.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

22274540 is an apocalyptic number.

2274540 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 2274540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

2274540 is an abundant number, since it is smaller than the sum of its proper divisors (4160532).

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

2274540 is a wasteful number, since it uses less digits than its factorization.

2274540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 2274540 is about 1508.1578166757. The cubic root of 2274540 is about 131.5117407243.

The spelling of 2274540 in words is "two million, two hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 227 334 454 501 668 681 835 908 1002 1135 1362 1670 2004 2270 2505 2724 3340 3405 4540 5010 6810 10020 13620 37909 75818 113727 151636 189545 227454 379090 454908 568635 758180 1137270 2274540