Search a number
-
+
2122281 = 34719197
BaseRepresentation
bin1000000110001000101001
310222211020000
420012020221
51020403111
6113253213
724016260
oct10061051
93884200
102122281
11121a557
12864209
13593cb5
143d35d7
152bdc56
hex206229

2122281 has 40 divisors (see below), whose sum is σ = 3833280. Its totient is φ = 1143072.

The previous prime is 2122277. The next prime is 2122303. The reversal of 2122281 is 1822212.

It is a happy number.

It is not a de Polignac number, because 2122281 - 22 = 2122277 is a prime.

It is a super-2 number, since 2×21222812 = 9008153285922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10675 + ... + 10871.

It is an arithmetic number, because the mean of its divisors is an integer number (95832).

22122281 is an apocalyptic number.

2122281 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122281 is a deficient number, since it is larger than the sum of its proper divisors (1710999).

2122281 is a wasteful number, since it uses less digits than its factorization.

2122281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 2122281 is about 1456.8050658891. The cubic root of 2122281 is about 128.5092222887.

Adding to 2122281 its reverse (1822212), we get a palindrome (3944493).

The spelling of 2122281 in words is "two million, one hundred twenty-two thousand, two hundred eighty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 197 399 513 567 591 1197 1379 1539 1773 3591 3743 4137 5319 10773 11229 12411 15957 26201 33687 37233 78603 101061 111699 235809 303183 707427 2122281