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2220021012200 = 235279173812183
BaseRepresentation
bin100000010011100011100…
…100000101011011101000
321212020021002012100000212
4200103203210011123220
5242333100334342300
64415510310520252
7316251122152025
oct40234344053350
97766232170025
102220021012200
11786561a92862
122ba308666088
13131468707214
147964196654c
153cb33e6d935
hex204e39056e8

2220021012200 has 96 divisors (see below), whose sum is σ = 5257104595200. Its totient is φ = 871698696960.

The previous prime is 2220021012119. The next prime is 2220021012227. The reversal of 2220021012200 is 22101200222.

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 23 ways as a sum of consecutive naturals, for example, 2327309 + ... + 3139491.

It is an arithmetic number, because the mean of its divisors is an integer number (54761506200).

Almost surely, 22220021012200 is an apocalyptic number.

2220021012200 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 2220021012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628552297600).

2220021012200 is an abundant number, since it is smaller than the sum of its proper divisors (3037083583000).

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

2220021012200 is a wasteful number, since it uses less digits than its factorization.

2220021012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812451 (or 812442 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2220021012200 its reverse (22101200222), we get a palindrome (2242122212422).

The spelling of 2220021012200 in words is "two trillion, two hundred twenty billion, twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 173 200 316 346 395 632 692 790 865 1384 1580 1730 1975 3160 3460 3950 4325 6920 7900 8650 13667 15800 17300 27334 34600 54668 68335 109336 136670 273340 341675 546680 683350 812183 1366700 1624366 2733400 3248732 4060915 6497464 8121830 16243660 20304575 32487320 40609150 64162457 81218300 128324914 140507659 162436600 256649828 281015318 320812285 513299656 562030636 641624570 702538295 1124061272 1283249140 1405076590 1604061425 2566498280 2810153180 3208122850 3512691475 5620306360 6416245700 7025382950 11100105061 12832491400 14050765900 22200210122 28101531800 44400420244 55500525305 88800840488 111001050610 222002101220 277502626525 444004202440 555005253050 1110010506100 2220021012200