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22201141200 = 2435272642993
BaseRepresentation
bin10100101011010010…
…101000011111010000
32010022020100211022220
4110223102220133100
5330431443004300
614110555301040
71414110405120
oct245322503720
963266324286
1022201141200
119462a68a87
12437714a780
13212a718854
14110877cc80
1589e110da0
hex52b4a87d0

22201141200 has 120 divisors (see below), whose sum is σ = 81277351488. Its totient is φ = 5074544640.

The previous prime is 22201141189. The next prime is 22201141213. The reversal of 22201141200 is 214110222.

It is a tau number, because it is divible by the number of its divisors (120).

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 22201141200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1313097 + ... + 1329896.

Almost surely, 222201141200 is an apocalyptic number.

22201141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201141200 is an abundant number, since it is smaller than the sum of its proper divisors (59076210288).

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

22201141200 is a wasteful number, since it uses less digits than its factorization.

22201141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643021 (or 2643010 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22201141200 its reverse (214110222), we get a palindrome (22415251422).

The spelling of 22201141200 in words is "twenty-two billion, two hundred one million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 2642993 5285986 7928979 10571972 13214965 15857958 18500951 21143944 26429930 31715916 37001902 39644895 42287888 52859860 55502853 63431832 66074825 74003804 79289790 92504755 105719720 111005706 126863664 132149650 148007608 158579580 185009510 198224475 211439440 222011412 264299300 277514265 296015216 317159160 370019020 396448950 444022824 462523775 528598600 555028530 634318320 740038040 792897900 888045648 925047550 1057197200 1110057060 1387571325 1480076080 1585795800 1850095100 2220114120 2775142650 3171591600 3700190200 4440228240 5550285300 7400380400 11100570600 22201141200