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220222120000 = 26547177543
BaseRepresentation
bin1100110100011001000…
…0101110000001000000
3210001102122202211002211
43031012100232001000
512102003330320000
6245100232151504
721624211064041
oct3150620560100
9701378684084
10220222120000
1185439711273
123681bb38594
13179c7a2745c
14a931aa68c8
155add9687ba
hex334642e040

220222120000 has 140 divisors (see below), whose sum is σ = 553777684416. Its totient is φ = 86847040000.

The previous prime is 220222119977. The next prime is 220222120031. The reversal of 220222120000 is 21222022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2801229 + ... + 2878771.

Almost surely, 2220222120000 is an apocalyptic number.

220222120000 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 220222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276888842208).

220222120000 is an abundant number, since it is smaller than the sum of its proper divisors (333555564416).

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

220222120000 is an frugal number, since it uses more digits than its factorization.

220222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77646 (or 77621 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 220222120000 its reverse (21222022), we get a palindrome (220243342022).

The spelling of 220222120000 in words is "two hundred twenty billion, two hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 142 160 200 250 284 320 355 400 500 568 625 710 800 1000 1136 1250 1420 1600 1775 2000 2272 2500 2840 3550 4000 4544 5000 5680 7100 8000 8875 10000 11360 14200 17750 20000 22720 28400 35500 40000 44375 56800 71000 77543 88750 113600 142000 155086 177500 284000 310172 355000 387715 568000 620344 710000 775430 1240688 1420000 1550860 1938575 2481376 2840000 3101720 3877150 4962752 5505553 6203440 7754300 9692875 11011106 12406880 15508600 19385750 22022212 24813760 27527765 31017200 38771500 44044424 48464375 55055530 62034400 77543000 88088848 96928750 110111060 124068800 137638825 155086000 176177696 193857500 220222120 275277650 310172000 352355392 387715000 440444240 550555300 620344000 688194125 775430000 880888480 1101110600 1376388250 1550860000 1761776960 2202221200 2752776500 3101720000 3440970625 4404442400 5505553000 6881941250 8808884800 11011106000 13763882500 22022212000 27527765000 44044424000 55055530000 110111060000 220222120000