Search a number
-
+
22112201020 = 22571353229237
BaseRepresentation
bin10100100101111111…
…010110100100111100
32010002001000012100011
4110211333112210330
5330241210413040
614054101113004
71411650415240
oct244577264474
963061005304
1022112201020
1194178409a8
1243513b8764
132115178120
1410daa2a420
158963e33ea
hex525fd693c

22112201020 has 96 divisors (see below), whose sum is σ = 58230119808. Its totient is φ = 6866076672.

The previous prime is 22112201003. The next prime is 22112201047. The reversal of 22112201020 is 2010221122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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, 18159 + ... + 211078.

It is an arithmetic number, because the mean of its divisors is an integer number (606563748).

Almost surely, 222112201020 is an apocalyptic number.

22112201020 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 22112201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29115059904).

22112201020 is an abundant number, since it is smaller than the sum of its proper divisors (36117918788).

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

22112201020 is a wasteful number, since it uses less digits than its factorization.

22112201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229319 (or 229317 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22112201020 its reverse (2010221122), we get a palindrome (24122422142).

The spelling of 22112201020 in words is "twenty-two billion, one hundred twelve million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 530 689 742 910 1060 1378 1484 1820 1855 2756 3445 3710 4823 6890 7420 9646 13780 19292 24115 48230 96460 229237 458474 916948 1146185 1604659 2292370 2980081 3209318 4584740 5960162 6418636 8023295 11920324 12149561 14900405 16046590 20860567 24299122 29800810 32093180 41721134 48598244 59601620 60747805 83442268 85046927 104302835 121495610 157944293 170093854 208605670 242991220 315888586 340187708 417211340 425234635 631777172 789721465 850469270 1105610051 1579442930 1700938540 2211220102 3158885860 4422440204 5528050255 11056100510 22112201020