Search a number
-
+
2122232145 = 351117898501
BaseRepresentation
bin111111001111110…
…1011000101010001
312110220100120012120
41332133223011101
513321242412040
6550330444453
7103406450505
oct17637530521
95426316176
102122232145
11999a43470
124b2893729
1327a8a3287
14161bd6305
15c64a97d0
hex7e7eb151

2122232145 has 64 divisors (see below), whose sum is σ = 3966693120. Its totient is φ = 957440000.

The previous prime is 2122232137. The next prime is 2122232197. The reversal of 2122232145 is 5412322212.

It is not a de Polignac number, because 2122232145 - 23 = 2122232137 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245395 + ... + 253895.

It is an arithmetic number, because the mean of its divisors is an integer number (61979580).

Almost surely, 22122232145 is an apocalyptic number.

It is an amenable number.

2122232145 is a deficient number, since it is larger than the sum of its proper divisors (1844460975).

2122232145 is a wasteful number, since it uses less digits than its factorization.

2122232145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626.

The product of its digits is 1920, while the sum is 24.

The square root of 2122232145 is about 46067.6909015418. The cubic root of 2122232145 is about 1285.0823618524.

Adding to 2122232145 its reverse (5412322212), we get a palindrome (7534554357).

The spelling of 2122232145 in words is "two billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 89 165 187 255 267 445 561 935 979 1335 1513 2805 2937 4539 4895 7565 8501 14685 16643 22695 25503 42505 49929 83215 93511 127515 144517 249645 280533 433551 467555 722585 756589 1402665 1589687 2167755 2269767 3782945 4769061 7948435 8322479 11348835 12862013 23845305 24967437 38586039 41612395 64310065 124837185 141482143 192930195 424446429 707410715 2122232145