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2282717553020 = 2252910338210873
BaseRepresentation
bin100001001101111100100…
…100011010000101111100
322002020002111210121101022
4201031330210122011330
5244400001143144040
64504355503203312
7323630604024542
oct41157444320574
98066074717338
102282717553020
11800105603953
1230a4a55a6538
1313734aa09498
147c6ac5cbd92
153e5a32c16b5
hex2137c91a17c

2282717553020 has 48 divisors (see below), whose sum is σ = 5007152928960. Its totient is φ = 873042003456.

The previous prime is 2282717552981. The next prime is 2282717553041. The reversal of 2282717553020 is 203557172822.

It is a super-2 number, since 2×22827175530202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19045697 + ... + 19165176.

It is an arithmetic number, because the mean of its divisors is an integer number (104315686020).

Almost surely, 22282717553020 is an apocalyptic number.

2282717553020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2282717553020 is an abundant number, since it is smaller than the sum of its proper divisors (2724435375940).

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

2282717553020 is a wasteful number, since it uses less digits than its factorization.

2282717553020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38211014 (or 38211012 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 2282717553020 in words is "two trillion, two hundred eighty-two billion, seven hundred seventeen million, five hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 103 116 145 206 290 412 515 580 1030 2060 2987 5974 11948 14935 29870 59740 38210873 76421746 152843492 191054365 382108730 764217460 1108115317 2216230634 3935719919 4432461268 5540576585 7871439838 11081153170 15742879676 19678599595 22162306340 39357199190 78714398380 114135877651 228271755302 456543510604 570679388255 1141358776510 2282717553020