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2200212022122 = 232731674438373
BaseRepresentation
bin100000000001000110110…
…110110010001101101010
321210100010120002101010200
4200001012312302031222
5242022013234201442
64402432523253030
7314650206420252
oct40010666621552
97710116071120
102200212022122
11779117366384
122b64ba67a176
1312c62c78990a
14786c2ba2962
153c374d8334c
hex20046db236a

2200212022122 has 24 divisors (see below), whose sum is σ = 4832429147364. Its totient is φ = 723357376704.

The previous prime is 2200212022103. The next prime is 2200212022159. The reversal of 2200212022122 is 2212202120022.

It can be written as a sum of positive squares in 2 ways, for example, as 2190077371881 + 10134650241 = 1479891^2 + 100671^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2200212022095 and 2200212022104.

It is an unprimeable number.

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, 837217873 + ... + 837220500.

Almost surely, 22200212022122 is an apocalyptic number.

2200212022122 is an abundant number, since it is smaller than the sum of its proper divisors (2632217125242).

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

2200212022122 is a wasteful number, since it uses less digits than its factorization.

2200212022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674438454 (or 1674438451 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2200212022122 its reverse (2212202120022), we get a palindrome (4412414142144).

The spelling of 2200212022122 in words is "two trillion, two hundred billion, two hundred twelve million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 1674438373 3348876746 5023315119 10046630238 15069945357 30139890714 122234001229 244468002458 366702003687 733404007374 1100106011061 2200212022122