Search a number
-
+
2241316615600 = 245219677955717
BaseRepresentation
bin100000100111011000111…
…000010111010110110000
321221021020012122002000201
4200213120320113112300
5243210204023144400
64433351401324544
7320633625615226
oct40473070272660
97837205562021
102241316615600
1179459a886897
12302470496754
1313348063a88a
147a6a1d46b16
153d47d80c06a
hex209d8e175b0

2241316615600 has 240 divisors, whose sum is σ = 5825695782400. Its totient is φ = 826058787840.

The previous prime is 2241316615511. The next prime is 2241316615627. The reversal of 2241316615600 is 65166131422.

It is a self number, because there is not a number n which added to its sum of digits gives 2241316615600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40198942 + ... + 40254658.

Almost surely, 22241316615600 is an apocalyptic number.

2241316615600 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 2241316615600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912847891200).

2241316615600 is an abundant number, since it is smaller than the sum of its proper divisors (3584379166800).

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

2241316615600 is a wasteful number, since it uses less digits than its factorization.

2241316615600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55900 (or 55889 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 2241316615600 in words is "two trillion, two hundred forty-one billion, three hundred sixteen million, six hundred fifteen thousand, six hundred".