Search a number
-
+
552234312 = 233272157997
BaseRepresentation
bin100000111010100…
…110110101001000
31102111010102001200
4200322212311020
52112332444222
6130444144200
716453625400
oct4072466510
91374112050
10552234312
112637a38a3
12134b38060
138a543486
14534b1800
1533734eac
hex20ea6d48

552234312 has 144 divisors (see below), whose sum is σ = 1752657660. Its totient is φ = 156619008.

The previous prime is 552234311. The next prime is 552234323. The reversal of 552234312 is 213432255.

It is a happy number.

552234312 is a `hidden beast` number, since 5 + 5 + 223 + 431 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 547279236 + 4955076 = 23394^2 + 2226^2 .

It is a super-2 number, since 2×5522343122 = 609925470700226688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (552234311) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 553398 + ... + 554394.

Almost surely, 2552234312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552234312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876328830).

552234312 is an abundant number, since it is smaller than the sum of its proper divisors (1200423348).

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

552234312 is a wasteful number, since it uses less digits than its factorization.

552234312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1166 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 552234312 is about 23499.6662103954. Note that the first 3 decimals coincide. The cubic root of 552234312 is about 820.4292378930.

Adding to 552234312 its reverse (213432255), we get a palindrome (765666567).

The spelling of 552234312 in words is "five hundred fifty-two million, two hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 157 168 196 252 294 314 392 441 471 504 588 628 882 942 997 1099 1176 1256 1413 1764 1884 1994 2198 2826 2991 3297 3528 3768 3988 4396 5652 5982 6594 6979 7693 7976 8792 8973 9891 11304 11964 13188 13958 15386 17946 19782 20937 23079 23928 26376 27916 30772 35892 39564 41874 46158 48853 55832 61544 62811 69237 71784 79128 83748 92316 97706 125622 138474 146559 156529 167496 184632 195412 251244 276948 293118 313058 390824 439677 469587 502488 553896 586236 626116 879354 939174 1095703 1172472 1252232 1408761 1758708 1878348 2191406 2817522 3287109 3517416 3756696 4382812 5635044 6574218 7669921 8765624 9861327 11270088 13148436 15339842 19722654 23009763 26296872 30679684 39445308 46019526 61359368 69029289 78890616 92039052 138058578 184078104 276117156 552234312