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2222033130 = 232541732113
BaseRepresentation
bin1000010001110001…
…1000100011101010
312201212010222102100
42010130120203222
514022320030010
61004253514230
7106030653462
oct20434304352
95655128370
102222033130
11a40309419
125201a2976
13295477305
14171174ba2
15d01202c0
hex847188ea

2222033130 has 144 divisors (see below), whose sum is σ = 6053477976. Its totient is φ = 565125120.

The previous prime is 2222033117. The next prime is 2222033137. The reversal of 2222033130 is 313302222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 104468841 + 2117564289 = 10221^2 + 46017^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222033137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19663954 + ... + 19664066.

Almost surely, 22222033130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026738988).

2222033130 is an abundant number, since it is smaller than the sum of its proper divisors (3831444846).

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

2222033130 is a wasteful number, since it uses less digits than its factorization.

2222033130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2222033130 is about 47138.4464105469. The cubic root of 2222033130 is about 1304.9188657886.

Adding to 2222033130 its reverse (313302222), we get a palindrome (2535335352).

The spelling of 2222033130 in words is "two billion, two hundred twenty-two million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 73 82 90 113 123 146 205 219 226 246 339 365 369 410 438 565 615 657 678 730 738 1017 1095 1130 1230 1314 1695 1845 2034 2190 2993 3285 3390 3690 4633 5085 5329 5986 6570 8249 8979 9266 10170 10658 13899 14965 15987 16498 17958 23165 24747 26645 26937 27798 29930 31974 41245 41697 44895 46330 47961 49494 53290 53874 69495 74241 79935 82490 83394 89790 95922 123735 134685 138990 148482 159870 208485 218489 239805 247470 269370 338209 371205 416970 436978 479610 602177 655467 676418 742410 1014627 1092445 1204354 1310934 1691045 1806531 1966401 2029254 2184890 3010885 3043881 3277335 3382090 3613062 3932802 5073135 5419593 6021770 6087762 6554670 9032655 9832005 10146270 10839186 15219405 18065310 19664010 24689257 27097965 30438810 49378514 54195930 74067771 123446285 148135542 222203313 246892570 370338855 444406626 740677710 1111016565 2222033130