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1002222012 = 2231117835381
BaseRepresentation
bin111011101111001…
…011000110111100
32120211212011010210
4323233023012330
54023032101022
6243241032420
733556514031
oct7357130674
92524764123
101002222012
11474801260
1223b785710
1312c83769c
1497169388
155cebea0c
hex3bbcb1bc

1002222012 has 96 divisors (see below), whose sum is σ = 2734228224. Its totient is φ = 282342400.

The previous prime is 1002221989. The next prime is 1002222017. The reversal of 1002222012 is 2102222001.

It is a super-2 number, since 2×10022220122 = 2008897922674656288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002222017) by changing a digit.

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, 183562 + ... + 188942.

It is an arithmetic number, because the mean of its divisors is an integer number (28481544).

Almost surely, 21002222012 is an apocalyptic number.

1002222012 is a gapful number since it is divisible by the number (12) 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 1002222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367114112).

1002222012 is an abundant number, since it is smaller than the sum of its proper divisors (1732006212).

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

1002222012 is a wasteful number, since it uses less digits than its factorization.

1002222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1002222012 is about 31657.8902013384. The cubic root of 1002222012 is about 1000.7401227498.

Adding to 1002222012 its reverse (2102222001), we get a palindrome (3104444013).

The spelling of 1002222012 in words is "one billion, two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 83 102 132 166 187 204 249 332 374 498 561 748 913 996 1122 1411 1826 2244 2739 2822 3652 4233 5381 5478 5644 8466 10762 10956 15521 16143 16932 21524 31042 32286 46563 59191 62084 64572 91477 93126 118382 177573 182954 186252 236764 274431 355146 365908 446623 548862 710292 893246 1006247 1097724 1339869 1786492 2012494 2679738 3018741 4024988 4912853 5359476 6037482 7592591 9825706 12074964 14738559 15185182 19651412 22777773 29477118 30370364 45555546 58954236 83518501 91111092 167037002 250555503 334074004 501111006 1002222012