Search a number
-
+
221021022220200 = 233252313960950219
BaseRepresentation
bin110010010000010001110111…
…100001000110111110101000
31001222120101220001112102110100
4302100101313201012332220
5212432202023142021300
62102023353401145400
764361145654120246
oct6220216741067650
91058511801472410
10221021022220200
1164473542045484
122095743118b260
139643267c330a7
143c81690263796
151a843e6027700
hexc90477846fa8

221021022220200 has 144 divisors (see below), whose sum is σ = 766206210556800. Its totient is φ = 57037683139200.

The previous prime is 221021022220183. The next prime is 221021022220291. The reversal of 221021022220200 is 2022220120122.

221021022220200 is a `hidden beast` number, since 2 + 2 + 10 + 210 + 22 + 220 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1980419310 + ... + 1980530909.

It is an arithmetic number, because the mean of its divisors is an integer number (5320876462200).

Almost surely, 2221021022220200 is an apocalyptic number.

221021022220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021022220200 is an abundant number, since it is smaller than the sum of its proper divisors (545185188336600).

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

221021022220200 is a wasteful number, since it uses less digits than its factorization.

221021022220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960950272 (or 3960950260 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221021022220200 its reverse (2022220120122), we get a palindrome (223043242340322).

The spelling of 221021022220200 in words is "two hundred twenty-one trillion, twenty-one billion, twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 900 930 1116 1240 1395 1550 1800 1860 2232 2325 2790 3100 3720 4650 5580 6200 6975 9300 11160 13950 18600 27900 55800 3960950219 7921900438 11882850657 15843800876 19804751095 23765701314 31687601752 35648551971 39609502190 47531402628 59414253285 71297103942 79219004380 95062805256 99023755475 118828506570 122789456789 142594207884 158438008760 178242759855 198047510950 237657013140 245578913578 285188415768 297071266425 356485519710 368368370367 396095021900 475314026280 491157827156 594142532850 613947283945 712971039420 736736740734 792190043800 891213799275 982315654312 1105105111101 1188285065700 1227894567890 1425942078840 1473473481468 1782427598550 1841841851835 2210210222202 2376570131400 2455789135780 2946946962936 3069736419725 3564855197100 3683683703670 4420420444404 4911578271560 5525525555505 6139472839450 7129710394200 7367367407340 8840840888808 9209209259175 11051051111010 12278945678900 14734734814680 18418418518350 22102102222020 24557891357800 27627627777525 36836837036700 44204204444040 55255255555050 73673674073400 110510511110100 221021022220200