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222211020221000 = 23534114936374369
BaseRepresentation
bin110010100001100110001000…
…111011001110101001001000
31002010210011111001201022220222
4302201212020323032221020
5213111201132134033000
62104334200004205212
764543134142203626
oct6241461073165110
91063704431638828
10222211020221000
1164892189981528
1220b09b99099808
1396cb5422b0675
143cc30dc268516
151aa5342aaca85
hexca1988ecea48

222211020221000 has 128 divisors (see below), whose sum is σ = 536230962540000. Its totient is φ = 86134503424000.

The previous prime is 222211020220991. The next prime is 222211020221009. The reversal of 222211020221000 is 122020112222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222211020220991) and next prime (222211020221009).

It can be written as a sum of positive squares in 16 ways, for example, as 130186867722916 + 92024152498084 = 11409946^2 + 9592922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 222211020221000.

It is not an unprimeable number, because it can be changed into a prime (222211020221009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12078185 + ... + 24296184.

Almost surely, 2222211020221000 is an apocalyptic number.

222211020221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222211020221000 is an abundant number, since it is smaller than the sum of its proper divisors (314019942319000).

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

222211020221000 is a wasteful number, since it uses less digits than its factorization.

222211020221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36374580 (or 36374566 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222211020221000 its reverse (122020112222), we get a palindrome (222333040333222).

The spelling of 222211020221000 in words is "two hundred twenty-two trillion, two hundred eleven billion, twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 149 164 200 205 250 298 328 410 500 596 745 820 1000 1025 1192 1490 1640 2050 2980 3725 4100 5125 5960 6109 7450 8200 10250 12218 14900 18625 20500 24436 29800 30545 37250 41000 48872 61090 74500 122180 149000 152725 244360 305450 610900 763625 1221800 1527250 3054500 6109000 36374369 72748738 145497476 181871845 290994952 363743690 727487380 909359225 1454974760 1491349129 1818718450 2982698258 3637436900 4546796125 5419780981 5965396516 7274873800 7456745645 9093592250 10839561962 11930793032 14913491290 18187184500 21679123924 27098904905 29826982580 36374369000 37283728225 43358247848 54197809810 59653965160 74567456450 108395619620 135494524525 149134912900 186418641125 216791239240 222211020221 270989049050 298269825800 372837282250 444422040442 541978098100 677472622625 745674564500 888844080884 1083956196200 1111055101105 1354945245250 1491349129000 1777688161768 2222110202210 2709890490500 4444220404420 5419780981000 5555275505525 8888440808840 11110551011050 22221102022100 27776377527625 44442204044200 55552755055250 111105510110500 222211020221000