Search a number
-
+
2247020460 = 223354161149
BaseRepresentation
bin1000010111101110…
…1100111110101100
312210121011110121000
42011323230332230
514100214123320
61010545240300
7106453234026
oct20573547654
95717143530
102247020460
11a53425803
12528633090
1329a6b5809
141745db016
15d2408c90
hex85eecfac

2247020460 has 48 divisors (see below), whose sum is σ = 6990732000. Its totient is φ = 599205312.

The previous prime is 2247020417. The next prime is 2247020497. The reversal of 2247020460 is 640207422.

It is a happy number.

It is a super-2 number, since 2×22470204602 = 10098201895317223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2080035 + ... + 2081114.

It is an arithmetic number, because the mean of its divisors is an integer number (145640250).

Almost surely, 22247020460 is an apocalyptic number.

2247020460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2247020460 is an abundant number, since it is smaller than the sum of its proper divisors (4743711540).

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

2247020460 is a wasteful number, since it uses less digits than its factorization.

2247020460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161167 (or 4161159 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2247020460 is about 47402.7473887326. The cubic root of 2247020460 is about 1309.7920264990.

Adding to 2247020460 its reverse (640207422), we get a palindrome (2887227882).

The spelling of 2247020460 in words is "two billion, two hundred forty-seven million, twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4161149 8322298 12483447 16644596 20805745 24966894 37450341 41611490 49933788 62417235 74900682 83222980 112351023 124834470 149801364 187251705 224702046 249668940 374503410 449404092 561755115 749006820 1123510230 2247020460