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22220743122 = 234971414073
BaseRepresentation
bin10100101100011101…
…011010000111010010
32010100121020201010000
4110230131122013102
5331002002234442
614112535350430
71414436125434
oct245435320722
963317221100
1022220743122
119473037216
124381822416
1321317bca16
14110b202654
158a0bd3d4c
hex52c75a1d2

22220743122 has 40 divisors (see below), whose sum is σ = 50304268476. Its totient is φ = 7330549248.

The previous prime is 22220743121. The next prime is 22220743133. The reversal of 22220743122 is 22134702222.

22220743122 is a `hidden beast` number, since 2 + 2 + 2 + 207 + 431 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21676967361 + 543775761 = 147231^2 + 23319^2 .

It is a super-2 number, since 2×222207431222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22220743121) 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 19 ways as a sum of consecutive naturals, for example, 691323 + ... + 722750.

Almost surely, 222220743122 is an apocalyptic number.

22220743122 is an abundant number, since it is smaller than the sum of its proper divisors (28083525354).

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

22220743122 is a wasteful number, since it uses less digits than its factorization.

22220743122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414184 (or 1414175 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 22220743122 in words is "twenty-two billion, two hundred twenty million, seven hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 5238 7857 15714 1414073 2828146 4242219 8484438 12726657 25453314 38179971 76359942 114539913 137165081 229079826 274330162 411495243 822990486 1234485729 2468971458 3703457187 7406914374 11110371561 22220743122