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222000100112 = 24723122340961
BaseRepresentation
bin1100111011000000111…
…1001011001100010000
3210020000120100120022002
43032300033023030100
512114124011200422
6245552504333132
722016240500400
oct3166017131420
9706016316262
10222000100112
11861712a601a
12370374741a8
1317c1c1a78ab
14aa5dc8a800
155b94ac2692
hex33b03cb310

222000100112 has 120 divisors (see below), whose sum is σ = 518818793472. Its totient is φ = 91658649600.

The previous prime is 222000100111. The next prime is 222000100163. The reversal of 222000100112 is 211001000222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 222000100093 and 222000100102.

It is not an unprimeable number, because it can be changed into a prime (222000100111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5399312 + ... + 5440272.

Almost surely, 2222000100112 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 222000100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259409396736).

222000100112 is an abundant number, since it is smaller than the sum of its proper divisors (296818693360).

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

222000100112 is a wasteful number, since it uses less digits than its factorization.

222000100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41237 (or 41224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 222000100112 its reverse (211001000222), we get a palindrome (433001100334).

The spelling of 222000100112 in words is "two hundred twenty-two billion, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 223 248 392 434 446 496 784 868 892 1519 1561 1736 1784 3038 3122 3472 3568 6076 6244 6913 10927 12152 12488 13826 21854 24304 24976 27652 40961 43708 48391 55304 81922 87416 96782 110608 163844 174832 193564 286727 327688 338737 387128 573454 655376 677474 774256 1146908 1269791 1354948 2007089 2293816 2539582 2709896 4014178 4587632 5079164 5419792 8028356 8888537 9134303 10158328 16056712 17777074 18268606 20316656 32113424 35554148 36537212 62219759 63940121 71108296 73074424 124439518 127880242 142216592 146148848 248879036 255760484 283163393 447580847 497758072 511520968 566326786 895161694 995516144 1023041936 1132653572 1790323388 1982143751 2265307144 3580646776 3964287502 4530614288 7161293552 7928575004 13875006257 15857150008 27750012514 31714300016 55500025028 111000050056 222000100112