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22234632768 = 263238601793
BaseRepresentation
bin10100101101010010…
…011001001001000000
32010101120101101010100
4110231102121021000
5331014031222033
614114153202400
71414665155145
oct245522311100
963346341110
1022234632768
11947a963767
124386400400
132134643b4a
14110cdba3cc
158a2029513
hex52d499240

22234632768 has 42 divisors (see below), whose sum is σ = 63731561894. Its totient is φ = 7411544064.

The previous prime is 22234632737. The next prime is 22234632773. The reversal of 22234632768 is 86723643222.

22234632768 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 4 + 632 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20653138944 + 1581493824 = 143712^2 + 39768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19300321 + ... + 19301472.

Almost surely, 222234632768 is an apocalyptic number.

It is an amenable number.

22234632768 is an abundant number, since it is smaller than the sum of its proper divisors (41496929126).

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

22234632768 is a wasteful number, since it uses less digits than its factorization.

22234632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38601811 (or 38601798 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 22234632768 in words is "twenty-two billion, two hundred thirty-four million, six hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 38601793 77203586 115805379 154407172 231610758 308814344 347416137 463221516 617628688 694832274 926443032 1235257376 1389664548 1852886064 2470514752 2779329096 3705772128 5558658192 7411544256 11117316384 22234632768