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221000220210222 = 23212277790011679
BaseRepresentation
bin110010001111111110011111…
…100111101111010000101110
31001222111102012022212211100100
4302033332133213233100232
5212431331422333211342
62102010033302011530
764356511323005655
oct6217763747572056
91058442168784310
10221000220210222
11644657379324a2
12209533a6716ba6
13964130135074b
143c8067964c19c
151a83ac9b88e4c
hexc8ff9f9ef42e

221000220210222 has 12 divisors (see below), whose sum is σ = 478833810455520. Its totient is φ = 73666740070068.

The previous prime is 221000220210149. The next prime is 221000220210271. The reversal of 221000220210222 is 222012022000122.

221000220210222 is a `hidden beast` number, since 2 + 2 + 10 + 0 + 0 + 220 + 210 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12277790011679 = 221000220210222 / (2 + 2 + 1 + 0 + 0 + 0 + 2 + 2 + 0 + 2 + 1 + 0 + 2 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 221000220210195 and 221000220210204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6138895005822 + ... + 6138895005857.

It is an arithmetic number, because the mean of its divisors is an integer number (39902817537960).

Almost surely, 2221000220210222 is an apocalyptic number.

221000220210222 is an abundant number, since it is smaller than the sum of its proper divisors (257833590245298).

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

221000220210222 is a wasteful number, since it uses less digits than its factorization.

221000220210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277790011687 (or 12277790011684 counting only the distinct ones).

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

Adding to 221000220210222 its reverse (222012022000122), we get a palindrome (443012242210344).

The spelling of 221000220210222 in words is "two hundred twenty-one trillion, two hundred twenty million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 12277790011679 24555580023358 36833370035037 73666740070074 110500110105111 221000220210222