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222212200112 = 24743331139397
BaseRepresentation
bin1100111011110011100…
…0010001011010110000
3210020120100110100210122
43032330320101122300
512120042310400422
6250025522345412
722024424351630
oct3167470213260
9706510410718
10222212200112
118626aaa2981
12370964bb268
1317c5410a556
14aa800dc6c0
155ba851bd42
hex33bce116b0

222212200112 has 80 divisors (see below), whose sum is σ = 505008844032. Its totient is φ = 92737370880.

The previous prime is 222212200073. The next prime is 222212200117. The reversal of 222212200112 is 211002212222.

It is a happy number.

222212200112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (222212200117) 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 15 ways as a sum of consecutive naturals, for example, 1524398 + ... + 1663794.

Almost surely, 2222212200112 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 222212200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252504422016).

222212200112 is an abundant number, since it is smaller than the sum of its proper divisors (282796643920).

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

222212200112 is a wasteful number, since it uses less digits than its factorization.

222212200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139786 (or 139780 counting only the distinct ones).

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

Adding to 222212200112 its reverse (211002212222), we get a palindrome (433214412334).

The spelling of 222212200112 in words is "two hundred twenty-two billion, two hundred twelve million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 331 344 602 662 688 1204 1324 2317 2408 2648 4634 4816 5296 9268 14233 18536 28466 37072 56932 99631 113864 139397 199262 227728 278794 398524 557588 797048 975779 1115176 1594096 1951558 2230352 3903116 5994071 7806232 11988142 15612464 23976284 41958497 46140407 47952568 83916994 92280814 95905136 167833988 184561628 322982849 335667976 369123256 645965698 671335952 738246512 1291931396 1984037501 2583862792 3968075002 5167725584 7936150004 13888262507 15872300008 27776525014 31744600016 55553050028 111106100056 222212200112