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22202202120 = 23357241109673
BaseRepresentation
bin10100101011010110…
…101011100000001000
32010022022100201122020
4110223112223200020
5330432230431440
614111034124440
71414122414150
oct245326534010
963268321566
1022202202120
11946362307a
124377580720
13212a9ca707
141108977760
1589e2703d0
hex52b5ab808

22202202120 has 128 divisors (see below), whose sum is σ = 76438391040. Its totient is φ = 5053685760.

The previous prime is 22202202119. The next prime is 22202202157. The reversal of 22202202120 is 2120220222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22202202120.

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, 147604 + ... + 257276.

It is an arithmetic number, because the mean of its divisors is an integer number (597174930).

Almost surely, 222202202120 is an apocalyptic number.

22202202120 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 22202202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38219195520).

22202202120 is an abundant number, since it is smaller than the sum of its proper divisors (54236188920).

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

22202202120 is a wasteful number, since it uses less digits than its factorization.

22202202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109935 (or 109931 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22202202120 its reverse (2120220222), we get a palindrome (24322422342).

The spelling of 22202202120 in words is "twenty-two billion, two hundred two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 241 280 420 482 723 840 964 1205 1446 1687 1928 2410 2892 3374 3615 4820 5061 5784 6748 7230 8435 9640 10122 13496 14460 16870 20244 25305 28920 33740 40488 50610 67480 101220 109673 202440 219346 329019 438692 548365 658038 767711 877384 1096730 1316076 1535422 1645095 2193460 2303133 2632152 3070844 3290190 3838555 4386920 4606266 6141688 6580380 7677110 9212532 11515665 13160760 15354220 18425064 23031330 26431193 30708440 46062660 52862386 79293579 92125320 105724772 132155965 158587158 185018351 211449544 264311930 317174316 370036702 396467895 528623860 555055053 634348632 740073404 792935790 925091755 1057247720 1110110106 1480146808 1585871580 1850183510 2220220212 2775275265 3171743160 3700367020 4440440424 5550550530 7400734040 11101101060 22202202120