Search a number
-
+
2122202200 = 235261197883
BaseRepresentation
bin111111001111110…
…0011110001011000
312110220022001010111
41332133203301120
513321240432300
6550330054104
7103406264266
oct17637436130
95426261114
102122202200
11999a22a18
124b287a334
1327a892761
14161bc9436
15c64a09ba
hex7e7e3c58

2122202200 has 96 divisors (see below), whose sum is σ = 5046172560. Its totient is φ = 829785600.

The previous prime is 2122202179. The next prime is 2122202209. The reversal of 2122202200 is 22022212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122202209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2402959 + ... + 2403841.

Almost surely, 22122202200 is an apocalyptic number.

2122202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523086280).

2122202200 is an abundant number, since it is smaller than the sum of its proper divisors (2923970360).

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

2122202200 is a wasteful number, since it uses less digits than its factorization.

2122202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2122202200 is about 46067.3658895318. The cubic root of 2122202200 is about 1285.0763175918.

Adding to 2122202200 its reverse (22022212), we get a palindrome (2144224412).

The spelling of 2122202200 in words is "two billion, one hundred twenty-two million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 197 200 244 305 394 488 610 788 883 985 1220 1525 1576 1766 1970 2440 3050 3532 3940 4415 4925 6100 7064 7880 8830 9850 12017 12200 17660 19700 22075 24034 35320 39400 44150 48068 53863 60085 88300 96136 107726 120170 173951 176600 215452 240340 269315 300425 347902 430904 480680 538630 600850 695804 869755 1077260 1201700 1346575 1391608 1739510 2154520 2403400 2693150 3479020 4348775 5386300 6958040 8697550 10611011 10772600 17395100 21222022 34790200 42444044 53055055 84888088 106110110 212220220 265275275 424440440 530550550 1061101100 2122202200