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221022221112 = 233271139866923
BaseRepresentation
bin1100110111010111110…
…0110111001100111000
3210010111102022011111100
43031311330313030320
512110123142033422
6245311453131400
721653064611250
oct3156574671470
9703442264440
10221022221112
118580a311060
1236a03a89b60
1317ac4714374
14a9aa05a960
155b38d107ac
hex3375f37338

221022221112 has 96 divisors (see below), whose sum is σ = 746308817280. Its totient is φ = 57408367680.

The previous prime is 221022221099. The next prime is 221022221131. The reversal of 221022221112 is 211122220122.

It is a happy number.

221022221112 is a `hidden beast` number, since 221 + 0 + 222 + 211 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19927918 + ... + 19939005.

It is an arithmetic number, because the mean of its divisors is an integer number (7774050180).

Almost surely, 2221022221112 is an apocalyptic number.

221022221112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221022221112 is an abundant number, since it is smaller than the sum of its proper divisors (525286596168).

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

221022221112 is a wasteful number, since it uses less digits than its factorization.

221022221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39866953 (or 39866946 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221022221112 its reverse (211122220122), we get a palindrome (432144441234).

The spelling of 221022221112 in words is "two hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 39866923 79733846 119600769 159467692 239201538 279068461 318935384 358802307 438536153 478403076 558136922 717604614 837205383 877072306 956806152 1116273844 1315608459 1435209228 1674410766 1754144612 2232547688 2511616149 2631216918 2870418456 3069753071 3348821532 3508289224 3946825377 5023232298 5262433836 6139506142 6697643064 7893650754 9209259213 10046464596 10524867672 12279012284 15787301508 18418518426 20092929192 24558024568 27627777639 31574603016 36837036852 55255555278 73674073704 110511110556 221022221112