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222020120000 = 26547792929
BaseRepresentation
bin1100111011000101101…
…1100010110111000000
3210020001222000200102102
43032301123202313000
512114144122320000
6245554501405532
722016602611410
oct3166133426700
9706058020372
10222020120000
118618162a288
12370421098a8
1317c23397093
14aa627bc640
155b967293d5
hex33b16e2dc0

222020120000 has 140 divisors (see below), whose sum is σ = 629186783280. Its totient is φ = 76121088000.

The previous prime is 222020119963. The next prime is 222020120009. The reversal of 222020120000 is 21020222.

222020120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222020120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116465 + ... + 676464.

Almost surely, 2222020120000 is an apocalyptic number.

222020120000 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 222020120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314593391640).

222020120000 is an abundant number, since it is smaller than the sum of its proper divisors (407166663280).

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

222020120000 is an frugal number, since it uses more digits than its factorization.

222020120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792968 (or 792943 counting only the distinct ones).

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

Adding to 222020120000 its reverse (21020222), we get a palindrome (222041140222).

The spelling of 222020120000 in words is "two hundred twenty-two billion, twenty million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 56000 70000 140000 280000 792929 1585858 3171716 3964645 5550503 6343432 7929290 11101006 12686864 15858580 19823225 22202012 25373728 27752515 31717160 39646450 44404024 50747456 55505030 63434320 79292900 88808048 99116125 111010060 126868640 138762575 158585800 177616096 198232250 222020120 253737280 277525150 317171600 355232192 396464500 444040240 495580625 555050300 634343200 693812875 792929000 888080480 991161250 1110100600 1268686400 1387625750 1585858000 1776160960 1982322500 2220201200 2775251500 3171716000 3469064375 3964645000 4440402400 5550503000 6343432000 6938128750 7929290000 8880804800 11101006000 13876257500 15858580000 22202012000 27752515000 31717160000 44404024000 55505030000 111010060000 222020120000