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2272638492 = 2233197223479
BaseRepresentation
bin1000011101110101…
…1011011000011100
312212101100222221000
42013131123120130
514123243412432
61013302310300
7110214052125
oct20735333034
95771328830
102272638492
11a66932a33
12535128390
132a2ab5107
14177b8904c
15d47b957c
hex8775b61c

2272638492 has 96 divisors (see below), whose sum is σ = 5960908800. Its totient is φ = 748754496.

The previous prime is 2272638481. The next prime is 2272638617. The reversal of 2272638492 is 2948362722.

2272638492 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 638 + 4 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4744309 + ... + 4744787.

It is an arithmetic number, because the mean of its divisors is an integer number (62092800).

Almost surely, 22272638492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272638492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980454400).

2272638492 is an abundant number, since it is smaller than the sum of its proper divisors (3688270308).

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

2272638492 is a wasteful number, since it uses less digits than its factorization.

2272638492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 904 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2272638492 is about 47672.1983130629. The cubic root of 2272638492 is about 1314.7508271204.

The spelling of 2272638492 in words is "two billion, two hundred seventy-two million, six hundred thirty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 223 394 446 479 591 669 788 892 958 1182 1338 1437 1773 1916 2007 2364 2676 2874 3546 4014 4311 5319 5748 6021 7092 8028 8622 10638 12042 12933 17244 21276 24084 25866 43931 51732 87862 94363 106817 131793 175724 188726 213634 263586 283089 320451 377452 395379 427268 527172 566178 640902 790758 849267 961353 1132356 1186137 1281804 1581516 1698534 1922706 2372274 2547801 2884059 3397068 3845412 4744548 5095602 5768118 10191204 11536236 21042949 42085898 63128847 84171796 126257694 189386541 252515388 378773082 568159623 757546164 1136319246 2272638492