Search a number
-
+
2241300340320 = 2535139161920749
BaseRepresentation
bin100000100111010111111…
…010010001111001100000
321221021012002000012112120
4200213113322101321200
5243210140341342240
64433350020424240
7320633340361356
oct40472772217140
97837162005476
102241300340320
1179459167aa48
12302466b48080
1313347a15c932
147a69db0b7d6
153d47c194ad0
hex209d7e91e60

2241300340320 has 192 divisors, whose sum is σ = 7115623200000. Its totient is φ = 592985143296.

The previous prime is 2241300340297. The next prime is 2241300340327. The reversal of 2241300340320 is 230430031422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241300340327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108009306 + ... + 108030054.

It is an arithmetic number, because the mean of its divisors is an integer number (37060537500).

Almost surely, 22241300340320 is an apocalyptic number.

2241300340320 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 2241300340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557811600000).

2241300340320 is an abundant number, since it is smaller than the sum of its proper divisors (4874322859680).

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

2241300340320 is a wasteful number, since it uses less digits than its factorization.

2241300340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22525 (or 22517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2241300340320 its reverse (230430031422), we get a palindrome (2471730371742).

The spelling of 2241300340320 in words is "two trillion, two hundred forty-one billion, three hundred million, three hundred forty thousand, three hundred twenty".