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22201202000 = 245347257919
BaseRepresentation
bin10100101011010010…
…110111010101010000
32010022020110220201202
4110223102313111100
5330432001431000
614111000450332
71414111050305
oct245322672520
963266426652
1022201202000
119462aaa72a
1243771799a8
13212a73a423
1411087970ac
1589e123dd5
hex52b4b7550

22201202000 has 160 divisors (see below), whose sum is σ = 55097902080. Its totient is φ = 8648294400.

The previous prime is 22201201999. The next prime is 22201202027. The reversal of 22201202000 is 20210222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24157541 + ... + 24158459.

It is an arithmetic number, because the mean of its divisors is an integer number (344361888).

Almost surely, 222201202000 is an apocalyptic number.

22201202000 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 22201202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27548951040).

22201202000 is an abundant number, since it is smaller than the sum of its proper divisors (32896700080).

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

22201202000 is a wasteful number, since it uses less digits than its factorization.

22201202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22201202000 its reverse (20210222), we get a palindrome (22221412222).

The spelling of 22201202000 in words is "twenty-two billion, two hundred one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 257 376 400 470 500 514 752 919 940 1000 1028 1175 1285 1838 1880 2000 2056 2350 2570 3676 3760 4112 4595 4700 5140 5875 6425 7352 9190 9400 10280 11750 12079 12850 14704 18380 18800 20560 22975 23500 24158 25700 32125 36760 43193 45950 47000 48316 51400 60395 64250 73520 86386 91900 94000 96632 102800 114875 120790 128500 172772 183800 193264 215965 229750 236183 241580 257000 301975 345544 367600 431930 459500 472366 483160 514000 603950 691088 863860 919000 944732 966320 1079825 1180915 1207900 1509875 1727720 1838000 1889464 2159650 2361830 2415800 3019750 3455440 3778928 4319300 4723660 4831600 5399125 5904575 6039500 8638600 9447320 10798250 11100601 11809150 12079000 17277200 18894640 21596500 22201202 23618300 24158000 29522875 43193000 44402404 47236600 55503005 59045750 86386000 88804808 94473200 111006010 118091500 177609616 222012020 236183000 277515025 444024040 472366000 555030050 888048080 1110060100 1387575125 2220120200 2775150250 4440240400 5550300500 11100601000 22201202000