Search a number
-
+
2232130122 = 234831091523
BaseRepresentation
bin1000010100001011…
…1001101001001010
312202120010221220000
42011002321221022
514032411130442
61005254143430
7106212535665
oct20502715112
95676127800
102232130122
11a45a85442
12523651b76
132975a1071
141726426dc
15d0e66d4c
hex850b9a4a

2232130122 has 80 divisors (see below), whose sum is σ = 5111678880. Its totient is φ = 727856928.

The previous prime is 2232130081. The next prime is 2232130207. The reversal of 2232130122 is 2210312322.

2232130122 is a `hidden beast` number, since 22 + 321 + 301 + 22 = 666.

It is a super-3 number, since 3×22321301223 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2232130095 and 2232130104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1464853 + ... + 1466375.

It is an arithmetic number, because the mean of its divisors is an integer number (63895986).

Almost surely, 22232130122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232130122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555839440).

2232130122 is an abundant number, since it is smaller than the sum of its proper divisors (2879548758).

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

2232130122 is a wasteful number, since it uses less digits than its factorization.

2232130122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2232130122 is about 47245.4243498775. The cubic root of 2232130122 is about 1306.8924110037.

Adding to 2232130122 its reverse (2210312322), we get a palindrome (4442442444).

The spelling of 2232130122 in words is "two billion, two hundred thirty-two million, one hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 83 109 162 166 218 249 327 498 654 747 981 1494 1523 1962 2241 2943 3046 4482 4569 5886 6723 8829 9047 9138 13446 13707 17658 18094 27141 27414 41121 54282 81423 82242 123363 126409 162846 166007 244269 246726 252818 332014 379227 488538 498021 732807 758454 996042 1137681 1465614 1494063 2275362 2988126 3413043 4482189 6826086 8964378 10239129 13446567 13778581 20478258 26893134 27557162 41335743 82671486 124007229 248014458 372021687 744043374 1116065061 2232130122