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2252252001280 = 21051726192459
BaseRepresentation
bin100000110001100100101…
…011100011010000000000
321222022110022111020002011
4200301210223203100000
5243400103003020110
64442400440502304
7321501622065151
oct40614453432000
97868408436064
102252252001280
117991a15a1a16
1230460277a994
13134504060ba8
147b01c3d7928
153d8bd88648a
hex20c64ae3400

2252252001280 has 264 divisors, whose sum is σ = 5750879464800. Its totient is φ = 846192574464.

The previous prime is 2252252001227. The next prime is 2252252001289. The reversal of 2252252001280 is 821002522522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252252001289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915920691 + ... + 915923149.

Almost surely, 22252252001280 is an apocalyptic number.

2252252001280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252252001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875439732400).

2252252001280 is an abundant number, since it is smaller than the sum of its proper divisors (3498627463520).

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

2252252001280 is a wasteful number, since it uses less digits than its factorization.

2252252001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 2252252001280 in words is "two trillion, two hundred fifty-two billion, two hundred fifty-two million, one thousand, two hundred eighty".