Search a number
-
+
2207321064 = 23331343101181
BaseRepresentation
bin1000001110010001…
…0000101111101000
312200211110112021000
42003210100233220
514010033233224
61003010315000
7105461630244
oct20344205750
95624415230
102207321064
11a32a7aa93
12517288a60
132923c5a50
1416d225424
15cdbb60c9
hex83910be8

2207321064 has 256 divisors, whose sum is σ = 6861254400. Its totient is φ = 653184000.

The previous prime is 2207321041. The next prime is 2207321069. The reversal of 2207321064 is 4601237022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2207321069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12195054 + ... + 12195234.

It is an arithmetic number, because the mean of its divisors is an integer number (26801775).

Almost surely, 22207321064 is an apocalyptic number.

2207321064 is a gapful number since it is divisible by the number (24) 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 2207321064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430627200).

2207321064 is an abundant number, since it is smaller than the sum of its proper divisors (4653933336).

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

2207321064 is a wasteful number, since it uses less digits than its factorization.

2207321064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2207321064 is about 46982.1355836450. The cubic root of 2207321064 is about 1302.0325333246.

Adding to 2207321064 its reverse (4601237022), we get a palindrome (6808558086).

The spelling of 2207321064 in words is "two billion, two hundred seven million, three hundred twenty-one thousand, sixty-four".