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2212221201210 = 2325101383363493
BaseRepresentation
bin100000001100010010101…
…010001010101100111010
321211111010111110212211100
4200030102222022230322
5242221112111414320
64412140321512230
7315553621644216
oct40142252125472
97744114425740
102212221201210
1178321a217379
122b88b04a2676
131307c47b6447
1479101acd946
153c829318790
hex20312a8ab3a

2212221201210 has 96 divisors (see below), whose sum is σ = 5810330352528. Its totient is φ = 583923225600.

The previous prime is 2212221201187. The next prime is 2212221201263. The reversal of 2212221201210 is 121021222122.

It is a happy number.

2212221201210 is a `hidden beast` number, since 2 + 212 + 221 + 20 + 1 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 607132380969 + 1605088820241 = 779187^2 + 1266921^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 34810224 + ... + 34873716.

Almost surely, 22212221201210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212221201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905165176264).

2212221201210 is an abundant number, since it is smaller than the sum of its proper divisors (3598109151318).

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

2212221201210 is a wasteful number, since it uses less digits than its factorization.

2212221201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67440 (or 67437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212221201210 its reverse (121021222122), we get a palindrome (2333242423332).

The spelling of 2212221201210 in words is "two trillion, two hundred twelve billion, two hundred twenty-one million, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 3833 4545 7666 9090 11499 19165 22998 34497 38330 57495 63493 68994 114990 126986 172485 190479 317465 344970 380958 387133 571437 634930 774266 952395 1142874 1161399 1904790 1935665 2322798 2857185 3484197 3871330 5714370 5806995 6412793 6968394 11613990 12825586 17420985 19238379 32063965 34841970 38476758 57715137 64127930 96191895 115430274 192383790 243368669 288575685 486737338 577151370 730106007 1216843345 1460212014 2190318021 2433686690 3650530035 4380636042 7301060070 10951590105 21903180210 24580235569 49160471138 73740706707 122901177845 147481413414 221222120121 245802355690 368703533535 442444240242 737407067070 1106110600605 2212221201210