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30294293022 = 2327347104399
BaseRepresentation
bin11100001101101011…
…100011101000011110
32220012021001112111200
4130031223203220132
5444020314334042
621530023500330
72121502146000
oct341553435036
986167045450
1030294293022
111193637a804
125a555b76a6
132b1a345396
141675574370
15bc48abc4c
hex70dae3a1e

30294293022 has 96 divisors (see below), whose sum is σ = 78174720000. Its totient is φ = 8471271312.

The previous prime is 30294293011. The next prime is 30294293023. The reversal of 30294293022 is 22039249203.

30294293022 is a `hidden beast` number, since 302 + 9 + 42 + 9 + 302 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30294293023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 237979 + ... + 342377.

It is an arithmetic number, because the mean of its divisors is an integer number (814320000).

Almost surely, 230294293022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30294293022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39087360000).

30294293022 is an abundant number, since it is smaller than the sum of its proper divisors (47880426978).

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

30294293022 is a wasteful number, since it uses less digits than its factorization.

30294293022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104475 (or 104458 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 30294293022 in words is "thirty billion, two hundred ninety-four million, two hundred ninety-three thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 126 141 147 282 294 329 343 423 441 658 686 846 882 987 1029 1974 2058 2303 2961 3087 4606 5922 6174 6909 13818 16121 20727 32242 41454 48363 96726 104399 145089 208798 290178 313197 626394 730793 939591 1461586 1879182 2192379 4384758 4906753 5115551 6577137 9813506 10231102 13154274 14720259 15346653 29440518 30693306 34347271 35808857 44160777 46039959 68694542 71617714 88321554 92079918 103041813 107426571 206083626 214853142 240430897 309125439 322279713 480861794 618250878 644559426 721292691 1442585382 1683016279 2163878073 3366032558 4327756146 5049048837 10098097674 15147146511 30294293022