Search a number
-
+
2200320122 = 2711135389233
BaseRepresentation
bin1000001100100110…
…0011100001111010
312200100021211202212
42003021203201322
514001240220442
61002200255122
7105345261320
oct20311434172
95610254685
102200320122
11a2a029090
12514a714a2
13290b14290
1416c321d10
15cd281a82
hex8326387a

2200320122 has 128 divisors (see below), whose sum is σ = 4585351680. Its totient is φ = 764375040.

The previous prime is 2200320121. The next prime is 2200320131. The reversal of 2200320122 is 2210230022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2200320097 and 2200320106.

It is not an unprimeable number, because it can be changed into a prime (2200320121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9443318 + ... + 9443550.

It is an arithmetic number, because the mean of its divisors is an integer number (35823060).

Almost surely, 22200320122 is an apocalyptic number.

2200320122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2200320122 is an abundant number, since it is smaller than the sum of its proper divisors (2385031558).

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

2200320122 is a wasteful number, since it uses less digits than its factorization.

2200320122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2200320122 is about 46907.5699860907. The cubic root of 2200320122 is about 1300.6545268124.

Adding to 2200320122 its reverse (2210230022), we get a palindrome (4410550144).

The spelling of 2200320122 in words is "two billion, two hundred million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 53 77 89 91 106 143 154 178 182 233 286 371 466 583 623 689 742 979 1001 1157 1166 1246 1378 1631 1958 2002 2314 2563 3029 3262 4081 4717 4823 5126 6058 6853 7579 8099 8162 9434 9646 12349 12727 13706 15158 16198 17941 20737 21203 24698 25454 33019 33319 35882 41474 42406 51887 53053 61321 66038 66638 86443 89089 103774 106106 122642 135839 145159 160537 172886 178178 228107 233233 269581 271678 290318 321074 363209 429247 456214 466466 539162 674531 726418 858494 950873 1099061 1123759 1349062 1596749 1765907 1887067 1901746 2198122 2247518 2965391 3193498 3531814 3774134 4721717 5930782 7693427 9443434 12089671 12361349 14287793 15386854 20757737 24179342 24722698 28575586 41515474 84627697 100014551 157165723 169255394 200029102 314331446 1100160061 2200320122