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2293134606 = 2327471273049
BaseRepresentation
bin1000100010101110…
…0111010100001110
312220210221022022100
42020223213110032
514144020301411
61015313455530
7110553215430
oct21053472416
95823838270
102293134606
11a77461a74
1253bb715a6
132a71102a9
1417a7a2650
15d64b7456
hex88ae750e

2293134606 has 96 divisors (see below), whose sum is σ = 5846630400. Its totient is φ = 635983488.

The previous prime is 2293134601. The next prime is 2293134673. The reversal of 2293134606 is 6064313922.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293134601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750570 + ... + 753618.

It is an arithmetic number, because the mean of its divisors is an integer number (60902400).

Almost surely, 22293134606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293134606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923315200).

2293134606 is an abundant number, since it is smaller than the sum of its proper divisors (3553495794).

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

2293134606 is a wasteful number, since it uses less digits than its factorization.

2293134606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3235 counting only the distinct ones).

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

The square root of 2293134606 is about 47886.6850596280. The cubic root of 2293134606 is about 1318.6914270130.

The spelling of 2293134606 in words is "two billion, two hundred ninety-three million, one hundred thirty-four thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 127 141 254 282 329 381 423 658 762 846 889 987 1143 1778 1974 2286 2667 2961 3049 5334 5922 5969 6098 8001 9147 11938 16002 17907 18294 21343 27441 35814 41783 42686 53721 54882 64029 83566 107442 125349 128058 143303 192087 250698 286606 376047 384174 387223 429909 752094 774446 859818 1003121 1161669 1289727 2006242 2323338 2579454 2710561 3009363 3485007 5421122 6018726 6970014 8131683 9028089 16263366 18056178 18199481 24395049 36398962 48790098 54598443 109196886 127396367 163795329 254792734 327590658 382189101 764378202 1146567303 2293134606