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2210022012212 = 2271731199974923
BaseRepresentation
bin100000001010001111100…
…100111011010100110100
321211021110020022111122222
4200022033210323110310
5242202111113342322
64411134201341512
7315445256103410
oct40121744732464
97737406274588
102210022012212
117822a08a1103
122b8397a97898
13130533ca9c91
1478d739c3d40
153c74b20be42
hex2028f93b534

2210022012212 has 96 divisors (see below), whose sum is σ = 4833497088000. Its totient is φ = 862238338560.

The previous prime is 2210022012169. The next prime is 2210022012217. The reversal of 2210022012212 is 2122102200122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210022012217) 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, 29459783 + ... + 29534705.

It is an arithmetic number, because the mean of its divisors is an integer number (50348928000).

Almost surely, 22210022012212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210022012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416748544000).

2210022012212 is an abundant number, since it is smaller than the sum of its proper divisors (2623475075788).

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

2210022012212 is a wasteful number, since it uses less digits than its factorization.

2210022012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76981 (or 76979 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2210022012212 its reverse (2122102200122), we get a palindrome (4332124212334).

The spelling of 2210022012212 in words is "two trillion, two hundred ten billion, twenty-two million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 434 476 527 868 1054 1999 2108 3689 3998 7378 7996 13993 14756 27986 33983 55972 61969 67966 74923 123938 135932 149846 237881 247876 299692 433783 475762 524461 867566 951524 1048922 1053473 1273691 1735132 2097844 2106946 2322613 2547382 4213892 4645226 5094764 7374311 8915837 9290452 14748622 16258291 17831674 29497244 32516582 35663348 39484421 65033164 78968842 149771077 157937684 276390947 299542154 552781894 599084308 1048397539 1105563788 2096795078 2546108309 4193590156 4642903387 5092216618 9285806774 10184433236 17822758163 18571613548 32500323709 35645516326 65000647418 71291032652 78929357579 130001294836 157858715158 315717430316 552505503053 1105011006106 2210022012212