Search a number
-
+
2213311122 = 233114779279
BaseRepresentation
bin1000001111101100…
…0111001010010010
312201020201212002000
42003323013022102
514013101423442
61003342534430
7105563556051
oct20373071222
95636655060
102213311122
11a363a1450
12519297416
13293712369
1416dd44398
15ce49ad4c
hex83ec7292

2213311122 has 64 divisors (see below), whose sum is σ = 5479833600. Its totient is φ = 656421840.

The previous prime is 2213311097. The next prime is 2213311147. The reversal of 2213311122 is 2211133122.

2213311122 is a `hidden beast` number, since 221 + 331 + 112 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2213311097) and next prime (2213311147).

It is a super-2 number, since 2×22133111222 = 9797492245537797768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2213311095 and 2213311104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11722 + ... + 67557.

It is an arithmetic number, because the mean of its divisors is an integer number (85622400).

Almost surely, 22213311122 is an apocalyptic number.

2213311122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2213311122 is an abundant number, since it is smaller than the sum of its proper divisors (3266522478).

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

2213311122 is a wasteful number, since it uses less digits than its factorization.

2213311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79348 (or 79342 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2213311122 is about 47045.8406450560. The cubic root of 2213311122 is about 1303.2092547562.

Adding to 2213311122 its reverse (2211133122), we get a palindrome (4424444244).

The spelling of 2213311122 in words is "two billion, two hundred thirteen million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1269 1551 2538 3102 4653 9306 13959 27918 79279 158558 237837 475674 713511 872069 1427022 1744138 2140533 2616207 3726113 4281066 5232414 7452226 7848621 11178339 15697242 22356678 23545863 33535017 40987243 47091726 67070034 81974486 100605051 122961729 201210102 245923458 368885187 737770374 1106655561 2213311122