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201822196896 = 25326841102437
BaseRepresentation
bin1011101111110110001…
…0100101010010100000
3201021221100001212201100
42323331202211102200
511301312440300041
6232414342034400
720403225240255
oct2737542452240
9637840055640
10201822196896
1178657406751
1233145a18a00
13160549b15a8
149aa80d542c
1553b34146b6
hex2efd8a54a0

201822196896 has 72 divisors (see below), whose sum is σ = 574021371924. Its totient is φ = 67263575040.

The previous prime is 201822196843. The next prime is 201822196903. The reversal of 201822196896 is 698691228102.

It is a happy number.

201822196896 is a `hidden beast` number, since 201 + 82 + 219 + 68 + 96 = 666.

201822196896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 164054161296 + 37768035600 = 405036^2 + 194340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 1918990 + ... + 2021426.

Almost surely, 2201822196896 is an apocalyptic number.

It is an amenable number.

201822196896 is an abundant number, since it is smaller than the sum of its proper divisors (372199175028).

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

201822196896 is a wasteful number, since it uses less digits than its factorization.

201822196896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109294 (or 109283 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 201822196896 in words is "two hundred one billion, eight hundred twenty-two million, one hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6841 13682 20523 27364 41046 54728 61569 82092 102437 109456 123138 164184 204874 218912 246276 307311 328368 409748 492552 614622 656736 819496 921933 985104 1229244 1638992 1843866 1970208 2458488 3277984 3687732 4916976 7375464 9833952 14750928 29501856 700771517 1401543034 2102314551 2803086068 4204629102 5606172136 6306943653 8409258204 11212344272 12613887306 16818516408 22424688544 25227774612 33637032816 50455549224 67274065632 100911098448 201822196896