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2110244064 = 253167131627
BaseRepresentation
bin111110111000111…
…1100010011100000
312110001210111122120
41331301330103200
513310210302224
6545221504240
7103202531025
oct17561742340
95401714576
102110244064
119931a5665
124aa872080
13278266836
1416039554c
15c53dc779
hex7dc7c4e0

2110244064 has 48 divisors (see below), whose sum is σ = 5572603008. Its totient is φ = 699197312.

The previous prime is 2110244057. The next prime is 2110244077. The reversal of 2110244064 is 4604420112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49782 + ... + 81845.

It is an arithmetic number, because the mean of its divisors is an integer number (116095896).

Almost surely, 22110244064 is an apocalyptic number.

2110244064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2110244064 is an abundant number, since it is smaller than the sum of its proper divisors (3462358944).

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

2110244064 is a wasteful number, since it uses less digits than its factorization.

2110244064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131807 (or 131799 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2110244064 is about 45937.3928733445. The cubic root of 2110244064 is about 1282.6580636513.

Adding to 2110244064 its reverse (4604420112), we get a palindrome (6714664176).

The spelling of 2110244064 in words is "two billion, one hundred ten million, two hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 8016 16032 131627 263254 394881 526508 789762 1053016 1579524 2106032 3159048 4212064 6318096 12636192 21981709 43963418 65945127 87926836 131890254 175853672 263780508 351707344 527561016 703414688 1055122032 2110244064