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222004002220 = 2257112131008101
BaseRepresentation
bin1100111011000001111…
…0000011110110101100
3210020000211200210222121
43032300132003312230
512114131011032340
6245553124122324
722016315611660
oct3166036036654
9706024623877
10222004002220
1186173520800
12370388363a4
1317c1cc42a30
14aa605c48a0
155b950e394a
hex33b0783dac

222004002220 has 144 divisors (see below), whose sum is σ = 630700870464. Its totient is φ = 63873216000.

The previous prime is 222004002191. The next prime is 222004002263. The reversal of 222004002220 is 22200400222.

It is a junction number, because it is equal to n+sod(n) for n = 222004002194 and 222004002203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283831 + ... + 724270.

It is an arithmetic number, because the mean of its divisors is an integer number (4379867156).

Almost surely, 2222004002220 is an apocalyptic number.

222004002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222004002220 is an abundant number, since it is smaller than the sum of its proper divisors (408696868244).

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

222004002220 is a wasteful number, since it uses less digits than its factorization.

222004002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008152 (or 1008139 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 222004002220 its reverse (22200400222), we get a palindrome (244204402442).

The spelling of 222004002220 in words is "two hundred twenty-two billion, four million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 110110 220220 1008101 2016202 4032404 5040505 7056707 10081010 11089111 13105313 14113414 20162020 22178222 26210626 28226828 35283535 44356444 52421252 55445555 65526565 70567070 77623777 91737191 110891110 121980221 131053130 141134140 144158443 155247554 183474382 221782220 243960442 262106260 288316886 310495108 366948764 388118885 458685955 487920884 576633772 609901105 720792215 776237770 853861547 917371910 1009109101 1219802210 1441584430 1552475540 1585742873 1707723094 1834743820 2018218202 2439604420 2883168860 3171485746 3415446188 4036436404 4269307735 5045545505 6342971492 7928714365 8538615470 10091091010 11100200111 15857428730 17077230940 20182182020 22200400222 31714857460 44400800444 55501000555 111002001110 222004002220