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1220222221002 = 2321721937333667
BaseRepresentation
bin10001110000011010111…
…010010111101011001010
311022122121101101101010200
4101300122322113223022
5124443003342033002
62332321244553030
7154105146513411
oct21603272275312
94278541341120
101220222221002
114305476a6034
121785a1b52776
138b0b3029c55
14430b8138478
1521b1a1eeb1c
hex11c1ae97aca

1220222221002 has 144 divisors (see below), whose sum is σ = 3036205292640. Its totient is φ = 352863806976.

The previous prime is 1220222220991. The next prime is 1220222221007. The reversal of 1220222221002 is 2001222220221.

1220222221002 is a `hidden beast` number, since 1 + 220 + 222 + 221 + 0 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1220222221007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3490173 + ... + 3823839.

Almost surely, 21220222221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220222221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518102646320).

1220222221002 is an abundant number, since it is smaller than the sum of its proper divisors (1815983071638).

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

1220222221002 is a wasteful number, since it uses less digits than its factorization.

1220222221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333765 (or 333745 counting only the distinct ones).

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

Adding to 1220222221002 its reverse (2001222220221), we get a palindrome (3221444441223).

It can be divided in two parts, 1220 and 222221002, that added together give a palindrome (222222222).

The spelling of 1220222221002 in words is "one trillion, two hundred twenty billion, two hundred twenty-two million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 17 18 19 34 37 38 51 57 74 102 111 114 153 171 222 289 306 323 333 342 578 629 646 666 703 867 969 1258 1406 1734 1887 1938 2109 2601 2907 3774 4218 5202 5491 5661 5814 6327 10693 10982 11322 11951 12654 16473 21386 23902 32079 32946 35853 49419 64158 71706 96237 98838 107559 192474 203167 215118 333667 406334 609501 667334 1001001 1219002 1828503 2002002 3003003 3657006 5672339 6006006 6339673 11344678 12345679 12679346 17017017 19019019 24691358 34034034 37037037 38038038 51051051 57057057 74074074 96429763 102102102 107774441 111111111 114114114 192859526 209876543 215548882 222222222 234567901 289289289 323323323 419753086 469135802 578578578 629629629 646646646 703703703 867867867 969969969 1259259258 1407407406 1735735734 1832165497 1888888887 1939939938 2111111109 3567901231 3664330994 3777777774 3987654317 4222222218 5496496491 7135802462 7975308634 10703703693 10992992982 11962962951 16489489473 21407407386 23925925902 32111111079 32978978946 35888888853 64222222158 67790123389 71777777706 135580246778 203370370167 406740740334 610111110501 1220222221002