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22202234120 = 23511294737021
BaseRepresentation
bin10100101011010110…
…110011010100001000
32010022022102100112102
4110223112303110020
5330432232442440
614111034532532
71414122606353
oct245326632410
963268370472
1022202234120
119463645120
124377597148
13212aa0c151
14110898529a
1589e279b15
hex52b5b3508

22202234120 has 128 divisors (see below), whose sum is σ = 57576614400. Its totient is φ = 7629081600.

The previous prime is 22202234101. The next prime is 22202234189. The reversal of 22202234120 is 2143220222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22202234092 and 22202234101.

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, 581210 + ... + 618230.

It is an arithmetic number, because the mean of its divisors is an integer number (449817300).

Almost surely, 222202234120 is an apocalyptic number.

22202234120 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 22202234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788307200).

22202234120 is an abundant number, since it is smaller than the sum of its proper divisors (35374380280).

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

22202234120 is a wasteful number, since it uses less digits than its factorization.

22202234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37119 (or 37115 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22202234120 its reverse (2143220222), we get a palindrome (24345454342).

The spelling of 22202234120 in words is "twenty-two billion, two hundred two million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 47 55 58 88 94 110 116 145 188 220 232 235 290 319 376 440 470 517 580 638 940 1034 1160 1276 1363 1595 1880 2068 2552 2585 2726 3190 4136 5170 5452 6380 6815 10340 10904 12760 13630 14993 20680 27260 29986 37021 54520 59972 74042 74965 119944 148084 149930 185105 296168 299860 370210 407231 599720 740420 814462 1073609 1480840 1628924 1739987 2036155 2147218 3257848 3479974 4072310 4294436 5368045 6959948 8144620 8588872 8699935 10736090 11809699 13919896 16289240 17399870 19139857 21472180 23619398 34799740 38279714 42944360 47238796 50459623 59048495 69599480 76559428 94477592 95699285 100919246 118096990 153118856 191398570 201838492 236193980 252298115 382797140 403676984 472387960 504596230 555055853 765594280 1009192460 1110111706 2018384920 2220223412 2775279265 4440446824 5550558530 11101117060 22202234120