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222291140112 = 24322953230637
BaseRepresentation
bin1100111100000110010…
…1011001111000010000
3210020202211222221010100
43033001211121320100
512120223012440422
6250041422332400
722026403341456
oct3170145317020
9706684887110
10222291140112
118630060a748
12370b8a2a100
1317c67589302
14aa8a7aa9d6
155bb04117ac
hex33c1959e10

222291140112 has 60 divisors (see below), whose sum is σ = 643558413420. Its totient is φ = 71541974784.

The previous prime is 222291140107. The next prime is 222291140119. The reversal of 222291140112 is 211041192222.

222291140112 is a `hidden beast` number, since 22 + 229 + 1 + 1 + 401 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 168162325776 + 54128814336 = 410076^2 + 232656^2 .

It is not an unprimeable number, because it can be changed into a prime (222291140119) 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 11 ways as a sum of consecutive naturals, for example, 26611143 + ... + 26619494.

It is an arithmetic number, because the mean of its divisors is an integer number (10725973557).

Almost surely, 2222291140112 is an apocalyptic number.

It is an amenable number.

222291140112 is an abundant number, since it is smaller than the sum of its proper divisors (421267273308).

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

222291140112 is a wasteful number, since it uses less digits than its factorization.

222291140112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53230680 (or 53230671 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 222291140112 in words is "two hundred twenty-two billion, two hundred ninety-one million, one hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 53230637 106461274 159691911 212922548 319383822 425845096 479075733 638767644 851690192 958151466 1277535288 1543688473 1916302932 2555070576 3087376946 3832605864 4631065419 6174753892 7665211728 9262130838 12349507784 13893196257 18524261676 24699015568 27786392514 37048523352 55572785028 74097046704 111145570056 222291140112