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22002021120 = 28359759069
BaseRepresentation
bin10100011111011011…
…000011001100000000
32002210100200110221010
4110133123003030000
5330030004133440
614035123400520
71406142044112
oct243733031400
962710613833
1022002021120
119370627132
124320523140
1320c83abc11
1410ca1493b2
1588b8cc580
hex51f6c3300

22002021120 has 144 divisors (see below), whose sum is σ = 70994579040. Its totient is φ = 5806620672.

The previous prime is 22002021113. The next prime is 22002021143. The reversal of 22002021120 is 2112020022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22002021096 and 22002021105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342946 + ... + 402014.

It is an arithmetic number, because the mean of its divisors is an integer number (493017910).

Almost surely, 222002021120 is an apocalyptic number.

22002021120 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 22002021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35497289520).

22002021120 is an abundant number, since it is smaller than the sum of its proper divisors (48992557920).

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

22002021120 is an equidigital number, since it uses as much as digits as its factorization.

22002021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59190 (or 59176 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22002021120 its reverse (2112020022), we get a palindrome (24114041142).

The spelling of 22002021120 in words is "twenty-two billion, two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 256 291 320 384 388 480 485 582 640 768 776 960 970 1164 1280 1455 1552 1920 1940 2328 2910 3104 3840 3880 4656 5820 6208 7760 9312 11640 12416 15520 18624 23280 24832 31040 37248 46560 59069 62080 74496 93120 118138 124160 177207 186240 236276 295345 354414 372480 472552 590690 708828 886035 945104 1181380 1417656 1772070 1890208 2362760 2835312 3544140 3780416 4725520 5670624 5729693 7088280 7560832 9451040 11341248 11459386 14176560 15121664 17189079 18902080 22682496 22918772 28353120 28648465 34378158 37804160 45364992 45837544 56706240 57296930 68756316 75608320 85945395 91675088 113412480 114593860 137512632 171890790 183350176 226824960 229187720 275025264 343781580 366700352 458375440 550050528 687563160 733400704 916750880 1100101056 1375126320 1466801408 1833501760 2200202112 2750252640 3667003520 4400404224 5500505280 7334007040 11001010560 22002021120