Search a number
-
+
2232145305 = 3251317224449
BaseRepresentation
bin1000010100001011…
…1101010110011001
312202120011201201100
42011002331112121
514032412122210
61005254342013
7106212631155
oct20502752631
95676151640
102232145305
11a45a95895
1252365a909
132975a7c50
14172648065
15d0e6b5c0
hex850bd599

2232145305 has 48 divisors (see below), whose sum is σ = 4411789200. Its totient is φ = 1034256384.

The previous prime is 2232145231. The next prime is 2232145393. The reversal of 2232145305 is 5035412322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 149769 + 2231995536 = 387^2 + 47244^2 .

It is not a de Polignac number, because 2232145305 - 29 = 2232144793 is a prime.

It is a super-3 number, since 3×22321453053 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102280 + ... + 122169.

It is an arithmetic number, because the mean of its divisors is an integer number (91912275).

Almost surely, 22232145305 is an apocalyptic number.

It is an amenable number.

2232145305 is a deficient number, since it is larger than the sum of its proper divisors (2179643895).

2232145305 is a wasteful number, since it uses less digits than its factorization.

2232145305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224490 (or 224487 counting only the distinct ones).

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

The square root of 2232145305 is about 47245.5850318313. The cubic root of 2232145305 is about 1306.8953741677.

Adding to 2232145305 its reverse (5035412322), we get a palindrome (7267557627).

The spelling of 2232145305 in words is "two billion, two hundred thirty-two million, one hundred forty-five thousand, three hundred five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 585 663 765 1105 1989 3315 9945 224449 673347 1122245 2020041 2917837 3366735 3815633 8753511 10100205 11446899 14589185 19078165 26260533 34340697 43767555 49603229 57234495 131302665 148809687 171703485 248016145 446429061 744048435 2232145305