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2002212212 = 2271113717043
BaseRepresentation
bin111011101010111…
…0101010101110100
312011112111220210212
41313111311111310
513100031242322
6530402204552
7100421344250
oct16725652564
95145456725
102002212212
11938218740
1247a653758
1325ba70270
1414dcb3260
15bab9d0e2
hex77575574

2002212212 has 96 divisors (see below), whose sum is σ = 4771436544. Its totient is φ = 709833600.

The previous prime is 2002212193. The next prime is 2002212239. The reversal of 2002212212 is 2122122002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280763 + ... + 287805.

It is an arithmetic number, because the mean of its divisors is an integer number (49702464).

Almost surely, 22002212212 is an apocalyptic number.

2002212212 is a gapful number since it is divisible by the number (22) 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 2002212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385718272).

2002212212 is an abundant number, since it is smaller than the sum of its proper divisors (2769224332).

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

2002212212 is a wasteful number, since it uses less digits than its factorization.

2002212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2002212212 is about 44746.0859964310. The cubic root of 2002212212 is about 1260.3854141358.

Adding to 2002212212 its reverse (2122122002), we get a palindrome (4124334214).

It can be divided in two parts, 2002 and 212212, that multiplied together give a palindrome (424848424).

The spelling of 2002212212 in words is "two billion, two million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 71 77 91 142 143 154 182 284 286 308 364 497 572 781 923 994 1001 1562 1846 1988 2002 3124 3692 4004 5467 6461 7043 10153 10934 12922 14086 20306 21868 25844 28172 40612 49301 71071 77473 91559 98602 142142 154946 183118 197204 284284 309892 366236 500053 542311 640913 1000106 1007149 1084622 1281826 2000212 2014298 2169244 2563652 3500371 4028596 5500583 6500689 7000742 7050043 11001166 13001378 14001484 14100086 22002332 26002756 28200172 38504081 45504823 71507579 77008162 91009646 143015158 154016324 182019292 286030316 500553053 1001106106 2002212212