Search a number
-
+
2266289356800 = 2143527319283
BaseRepresentation
bin100000111110101001010…
…111110100000000000000
322000122200121020202210110
4200332221113310000000
5244112330033404200
64453041410031320
7322506522456000
oct40765127640000
98018617222713
102266289356800
117a4145294987
1230727b878540
1313593031ba11
147b990836000
153de40de7b50
hex20fa95f4000

2266289356800 has 1440 divisors, whose sum is σ = 9231381376000. Its totient is φ = 489011281920.

The previous prime is 2266289356777. The next prime is 2266289356831. The reversal of 2266289356800 is 86539826622.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8008089459 + ... + 8008089741.

Almost surely, 22266289356800 is an apocalyptic number.

2266289356800 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 2266289356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615690688000).

2266289356800 is an abundant number, since it is smaller than the sum of its proper divisors (6965092019200).

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

2266289356800 is an equidigital number, since it uses as much as digits as its factorization.

2266289356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 2266289356800 in words is "two trillion, two hundred sixty-six billion, two hundred eighty-nine million, three hundred fifty-six thousand, eight hundred".