Search a number
-
+
2280098367360 = 273451125961101
BaseRepresentation
bin100001001011100000011…
…101000000011110000000
322001222022222100012010000
4201023200131000132000
5244324120140223420
64503243541040000
7323505651226002
oct41134035003600
98058288305100
102280098367360
117a9a910a4a00
12309a943b6000
131370211a9998
147c5007d4372
153e49d3a1690
hex212e0740780

2280098367360 has 1920 divisors, whose sum is σ = 9342681717600. Its totient is φ = 529182720000.

The previous prime is 2280098367353. The next prime is 2280098367413. The reversal of 2280098367360 is 637638900822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2280098367297 and 2280098367306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22575231310 + ... + 22575231410.

Almost surely, 22280098367360 is an apocalyptic number.

2280098367360 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 2280098367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671340858800).

2280098367360 is an abundant number, since it is smaller than the sum of its proper divisors (7062583350240).

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

2280098367360 is a wasteful number, since it uses less digits than its factorization.

2280098367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2280098367360 in words is "two trillion, two hundred eighty billion, ninety-eight million, three hundred sixty-seven thousand, three hundred sixty".