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2222121006 = 23377974413
BaseRepresentation
bin1000010001110010…
…1110000000101110
312201212022102222000
42010130232000232
514022330333011
61004255433130
7106031500620
oct20434560056
95655272860
102222121006
11a40369446
125202257a6
132954a8301
14171198c10
15d013b356
hex8472e02e

2222121006 has 64 divisors (see below), whose sum is σ = 5714995200. Its totient is φ = 626846688.

The previous prime is 2222120987. The next prime is 2222121007. The reversal of 2222121006 is 6001212222.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2222121006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7345 + ... + 67068.

It is an arithmetic number, because the mean of its divisors is an integer number (89296800).

Almost surely, 22222121006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222121006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857497600).

2222121006 is an abundant number, since it is smaller than the sum of its proper divisors (3492874194).

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

2222121006 is a wasteful number, since it uses less digits than its factorization.

2222121006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74510 (or 74504 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2222121006 is about 47139.3785067220. The cubic root of 2222121006 is about 1304.9360676832.

Adding to 2222121006 its reverse (6001212222), we get a palindrome (8223333228).

The spelling of 2222121006 in words is "two billion, two hundred twenty-two million, one hundred twenty-one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 237 378 474 553 711 1106 1422 1659 2133 3318 4266 4977 9954 14931 29862 74413 148826 223239 446478 520891 669717 1041782 1339434 1562673 2009151 3125346 4018302 4688019 5878627 9376038 11757254 14064057 17635881 28128114 35271762 41150389 52907643 82300778 105815286 123451167 158722929 246902334 317445858 370353501 740707002 1111060503 2222121006