Search a number
-
+
2771234214 = 237375333647
BaseRepresentation
bin1010010100101101…
…1010110110100110
321011010120021200020
42211023122312212
521133413443324
61134553100010
7125450050020
oct24513326646
97133507606
102771234214
1111a2320311
126540b7606
13352197c78
141c4097010
15113456679
hexa52dada6

2771234214 has 64 divisors (see below), whose sum is σ = 6628386816. Its totient is φ = 755823744.

The previous prime is 2771234183. The next prime is 2771234233. The reversal of 2771234214 is 4124321772.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65539 + ... + 99185.

It is an arithmetic number, because the mean of its divisors is an integer number (103568544).

Almost surely, 22771234214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2771234214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314193408).

2771234214 is an abundant number, since it is smaller than the sum of its proper divisors (3857152602).

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

2771234214 is a wasteful number, since it uses less digits than its factorization.

2771234214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33749.

The product of its digits is 18816, while the sum is 33.

The square root of 2771234214 is about 52642.5133708489. The cubic root of 2771234214 is about 1404.6164298696.

Adding to 2771234214 its reverse (4124321772), we get a palindrome (6895555986).

The spelling of 2771234214 in words is "two billion, seven hundred seventy-one million, two hundred thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 53 74 106 111 159 222 259 318 371 518 742 777 1113 1554 1961 2226 3922 5883 11766 13727 27454 33647 41181 67294 82362 100941 201882 235529 471058 706587 1244939 1413174 1783291 2489878 3566582 3734817 5349873 7469634 8714573 10699746 12483037 17429146 24966074 26143719 37449111 52287438 65981767 74898222 131963534 197945301 395890602 461872369 923744738 1385617107 2771234214