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22022132130 = 23259713718413
BaseRepresentation
bin10100100000100111…
…110001000110100010
32002211202112020001100
4110200213301012202
5330100131212010
614041122415230
71406505014565
oct244047610642
962752466040
1022022132130
119380a128a9
124327201516
1320cc600a1b
1410ccaa24dc
1588d5512c0
hex5209f11a2

22022132130 has 96 divisors (see below), whose sum is σ = 58273239024. Its totient is φ = 5769289728.

The previous prime is 22022132117. The next prime is 22022132179. The reversal of 22022132130 is 3123122022.

It can be written as a sum of positive squares in 8 ways, for example, as 7209538281 + 14812593849 = 84909^2 + 121707^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1186804 + ... + 1205216.

Almost surely, 222022132130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29136619512).

22022132130 is an abundant number, since it is smaller than the sum of its proper divisors (36251106894).

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

22022132130 is a wasteful number, since it uses less digits than its factorization.

22022132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18660 (or 18657 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22022132130 its reverse (3123122022), we get a palindrome (25145254152).

The spelling of 22022132130 in words is "twenty-two billion, twenty-two million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 137 194 274 291 411 485 582 685 822 873 970 1233 1370 1455 1746 2055 2466 2910 4110 4365 6165 8730 12330 13289 18413 26578 36826 39867 55239 66445 79734 92065 110478 119601 132890 165717 184130 199335 239202 276195 331434 398670 552390 598005 828585 1196010 1657170 1786061 2522581 3572122 5045162 5358183 7567743 8930305 10716366 12612905 15135486 16074549 17860610 22703229 25225810 26790915 32149098 37838715 45406458 53581830 75677430 80372745 113516145 160745490 227032290 244690357 489380714 734071071 1223451785 1468142142 2202213213 2446903570 3670355355 4404426426 7340710710 11011066065 22022132130