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198022000164 = 22316501833347
BaseRepresentation
bin1011100001101100000…
…1111110111000100100
3200221010111022212211020
42320123001332320210
511221022113001124
6230545310411140
720210112141432
oct2703301767044
9627114285736
10198022000164
1176a8729069a
1232465200ab0
131589a5a8781
149827511d52
15523e9aa379
hex2e1b07ee24

198022000164 has 12 divisors (see below), whose sum is σ = 462051333744. Its totient is φ = 66007333384.

The previous prime is 198022000093. The next prime is 198022000171. The reversal of 198022000164 is 461000220891.

198022000164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

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, 8250916662 + ... + 8250916685.

It is an arithmetic number, because the mean of its divisors is an integer number (38504277812).

Almost surely, 2198022000164 is an apocalyptic number.

It is an amenable number.

198022000164 is an abundant number, since it is smaller than the sum of its proper divisors (264029333580).

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

198022000164 is a wasteful number, since it uses less digits than its factorization.

198022000164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16501833354 (or 16501833352 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 198022000164 in words is "one hundred ninety-eight billion, twenty-two million, one hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 16501833347 33003666694 49505500041 66007333388 99011000082 198022000164