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200122202001222 = 232177315235882353
BaseRepresentation
bin101101100000001010010100…
…110000110000111101000110
3222020120111101100020220212200
4231200022110300300331012
5202212300232203014342
61545342512002255330
760103231503222534
oct5540122460607506
9866514340226780
10200122202001222
1158846392944596
121a541034657546
13878859a728747
14375bd755a9154
15182098750994c
hexb60294c30f46

200122202001222 has 96 divisors (see below), whose sum is σ = 465698625002208. Its totient is φ = 61882719510528.

The previous prime is 200122202001191. The next prime is 200122202001247. The reversal of 200122202001222 is 222100202221002.

200122202001222 is a `hidden beast` number, since 20 + 0 + 1 + 2 + 220 + 200 + 1 + 222 = 666.

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 = 200122202001195 and 200122202001204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31079598 + ... + 36961950.

It is an arithmetic number, because the mean of its divisors is an integer number (4851027343773).

Almost surely, 2200122202001222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200122202001222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232849312501104).

200122202001222 is an abundant number, since it is smaller than the sum of its proper divisors (265576423000986).

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

200122202001222 is a wasteful number, since it uses less digits than its factorization.

200122202001222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883974 (or 5883971 counting only the distinct ones).

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

Adding to 200122202001222 its reverse (222100202221002), we get a palindrome (422222404222224).

The spelling of 200122202001222 in words is "two hundred trillion, one hundred twenty-two billion, two hundred two million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 73 102 146 153 219 306 438 657 1241 1314 1523 2482 3046 3723 4569 7446 9138 11169 13707 22338 25891 27414 51782 77673 111179 155346 222358 233019 333537 466038 667074 1000611 1890043 2001222 3780086 5670129 5882353 11340258 11764706 17010387 17647059 34020774 35294118 52941177 100000001 105882354 200000002 300000003 429411769 600000006 858823538 900000009 1288235307 1800000018 2576470614 3864705921 7300000073 7729411842 8958823619 14600000146 17917647238 21900000219 26876470857 43800000438 53752941714 65700000657 80629412571 131400001314 152300001523 161258825142 304600003046 456900004569 653994124187 913800009138 1307988248374 1370700013707 1961982372561 2741400027414 3923964745122 5885947117683 11117900111179 11771894235366 22235800222358 33353700333537 66707400667074 100061101000611 200122202001222