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2272114140672 = 2932439160647
BaseRepresentation
bin100001000100000100100…
…011100110011000000000
322001012201112121110010110
4201010010203212120000
5244211242210000142
64455443403231320
7323104051352115
oct41040443463000
98035645543113
102272114140672
117a6664220252
12308426518540
1313634acca1ac
147bd8427490c
153e18246e99c
hex211048e6600

2272114140672 has 80 divisors (see below), whose sum is σ = 6053402057472. Its totient is φ = 757327841280.

The previous prime is 2272114140671. The next prime is 2272114140689. The reversal of 2272114140672 is 2760414112722.

It is a super-3 number, since 3×22721141406723 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2272114140672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272114140671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37434253 + ... + 37494899.

Almost surely, 22272114140672 is an apocalyptic number.

It is an amenable number.

2272114140672 is an abundant number, since it is smaller than the sum of its proper divisors (3781287916800).

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

2272114140672 is an equidigital number, since it uses as much as digits as its factorization.

2272114140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85059 (or 85043 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 2272114140672 in words is "two trillion, two hundred seventy-two billion, one hundred fourteen million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 24391 48782 60647 73173 97564 121294 146346 181941 195128 242588 292692 363882 390256 485176 585384 727764 780512 970352 1170768 1455528 1561024 1940704 2341536 2911056 3122048 3881408 4683072 5822112 6244096 7762816 9366144 11644224 12488192 15525632 18732288 23288448 31051264 37464576 46576896 93153792 1479240977 2958481954 4437722931 5916963908 8875445862 11833927816 17750891724 23667855632 35501783448 47335711264 71003566896 94671422528 142007133792 189342845056 284014267584 378685690112 568028535168 757371380224 1136057070336 2272114140672