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22262012220 = 22357261124133
BaseRepresentation
bin10100101110111010…
…110101100100111100
32010110110220101200010
4110232322311210330
5331043033342340
614121012103220
71415446660500
oct245672654474
963413811603
1022262012220
119494364308
124393604b10
13213a20c0c6
1411128a6300
158a4636b80
hex52eeb593c

22262012220 has 144 divisors (see below), whose sum is σ = 73699845408. Its totient is φ = 5005002240.

The previous prime is 22262012203. The next prime is 22262012221. The reversal of 22262012220 is 2221026222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22262012221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117274 + ... + 241406.

It is an arithmetic number, because the mean of its divisors is an integer number (511804482).

Almost surely, 222262012220 is an apocalyptic number.

22262012220 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 22262012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36849922704).

22262012220 is an abundant number, since it is smaller than the sum of its proper divisors (51437833188).

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

22262012220 is a wasteful number, since it uses less digits than its factorization.

22262012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124220 (or 124211 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22262012220 its reverse (2221026222), we get a palindrome (24483038442).

The spelling of 22262012220 in words is "twenty-two billion, two hundred sixty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 61 70 84 98 105 122 140 147 183 196 210 244 245 294 305 366 420 427 490 588 610 732 735 854 915 980 1220 1281 1470 1708 1830 2135 2562 2940 2989 3660 4270 5124 5978 6405 8540 8967 11956 12810 14945 17934 25620 29890 35868 44835 59780 89670 124133 179340 248266 372399 496532 620665 744798 868931 1241330 1489596 1737862 1861995 2482660 2606793 3475724 3723990 4344655 5213586 6082517 7447980 7572113 8689310 10427172 12165034 13033965 15144226 17378620 18247551 22716339 24330068 26067930 30288452 30412585 36495102 37860565 45432678 52135860 53004791 60825170 72990204 75721130 90865356 91237755 106009582 113581695 121650340 151442260 159014373 182475510 212019164 227163390 265023955 318028746 364951020 371033537 454326780 530047910 636057492 742067074 795071865 1060095820 1113100611 1484134148 1590143730 1855167685 2226201222 3180287460 3710335370 4452402444 5565503055 7420670740 11131006110 22262012220