Search a number
-
+
2122200126 = 232612637349
BaseRepresentation
bin111111001111110…
…0011010000111110
312110220021221021200
41332133203100332
513321240401001
6550330040330
7103406255244
oct17637432076
95426257250
102122200126
11999a21402
124b28790a6
1327a891827
14161bc8794
15c64a0086
hex7e7e343e

2122200126 has 48 divisors (see below), whose sum is σ = 4691887200. Its totient is φ = 693063360.

The previous prime is 2122200121. The next prime is 2122200127. The reversal of 2122200126 is 6210022212.

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 = 2122200099 and 2122200108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122200121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285100 + ... + 292448.

It is an arithmetic number, because the mean of its divisors is an integer number (97747650).

Almost surely, 22122200126 is an apocalyptic number.

2122200126 is an abundant number, since it is smaller than the sum of its proper divisors (2569687074).

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

2122200126 is a wasteful number, since it uses less digits than its factorization.

2122200126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2122200126 is about 46067.3433790142. The cubic root of 2122200126 is about 1285.0758989623.

Adding to 2122200126 its reverse (6210022212), we get a palindrome (8332222338).

The spelling of 2122200126 in words is "two billion, one hundred twenty-two million, two hundred thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 61 122 183 263 366 526 549 789 1098 1578 2367 4734 7349 14698 16043 22047 32086 44094 48129 66141 96258 132282 144387 288774 448289 896578 1344867 1932787 2689734 3865574 4034601 5798361 8069202 11596722 17395083 34790166 117900007 235800014 353700021 707400042 1061100063 2122200126