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202114122216 = 2338421421759
BaseRepresentation
bin1011110000111011110…
…0001100000111101000
3201022200200101012222020
42330032330030013220
511302412203402331
6232503331024440
720413401456426
oct2741674140750
9638620335866
10202114122216
1178797175546
123320773b120
13160a0312c76
149ad4ba6116
1553cdd7ac96
hex2f0ef0c1e8

202114122216 has 16 divisors (see below), whose sum is σ = 505285305600. Its totient is φ = 67371374064.

The previous prime is 202114122209. The next prime is 202114122241. The reversal of 202114122216 is 612221411202.

202114122216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8421421759 = 202114122216 / (2 + 0 + 2 + 1 + 1 + 4 + 1 + 2 + 2 + 2 + 1 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4210710856 + ... + 4210710903.

It is an arithmetic number, because the mean of its divisors is an integer number (31580331600).

Almost surely, 2202114122216 is an apocalyptic number.

It is an amenable number.

202114122216 is an abundant number, since it is smaller than the sum of its proper divisors (303171183384).

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

202114122216 is a wasteful number, since it uses less digits than its factorization.

202114122216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421421768 (or 8421421764 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 202114122216 its reverse (612221411202), we get a palindrome (814335533418).

The spelling of 202114122216 in words is "two hundred two billion, one hundred fourteen million, one hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 8421421759 16842843518 25264265277 33685687036 50528530554 67371374072 101057061108 202114122216