Search a number
-
+
2265143304660 = 22353149913031873
BaseRepresentation
bin100000111101100101000…
…011111110000111010100
322000112201201202021210220
4200331211003332013110
5244103003141222120
64452331550114340
7322436235260055
oct40754503760724
98015651667726
102265143304660
117a3707385a55
12306bbbaab9b0
131357a9a65862
147b8c254a72c
153ddc54b6b40
hex20f650fe1d4

2265143304660 has 192 divisors, whose sum is σ = 6568654848000. Its totient is φ = 582622709760.

The previous prime is 2265143304649. The next prime is 2265143304667. The reversal of 2265143304660 is 664033415622.

It is a happy number.

2265143304660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265143304667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1209365484 + ... + 1209367356.

It is an arithmetic number, because the mean of its divisors is an integer number (34211744000).

Almost surely, 22265143304660 is an apocalyptic number.

2265143304660 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 2265143304660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284327424000).

2265143304660 is an abundant number, since it is smaller than the sum of its proper divisors (4303511543340).

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

2265143304660 is a wasteful number, since it uses less digits than its factorization.

2265143304660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 2265143304660 in words is "two trillion, two hundred sixty-five billion, one hundred forty-three million, three hundred four thousand, six hundred sixty".