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2144432320 = 26538317497
BaseRepresentation
bin111111111010001…
…0111000011000000
312112110010110010021
41333310113003000
513342433313240
6552442343224
7104066242162
oct17764270300
95473113107
102144432320
11a00526818
124ba1bab14
13282376c84
14164b34932
15c83e254a
hex7fd170c0

2144432320 has 56 divisors (see below), whose sum is σ = 5120054784. Its totient is φ = 855484416.

The previous prime is 2144432299. The next prime is 2144432357. The reversal of 2144432320 is 232344412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113812 + ... + 131308.

Almost surely, 22144432320 is an apocalyptic number.

2144432320 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 2144432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560027392).

2144432320 is an abundant number, since it is smaller than the sum of its proper divisors (2975622464).

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

2144432320 is a wasteful number, since it uses less digits than its factorization.

2144432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17897 (or 17887 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2144432320 is about 46308.0157208231. The cubic root of 2144432320 is about 1289.5478093802.

Adding to 2144432320 its reverse (232344412), we get a palindrome (2376776732).

The spelling of 2144432320 in words is "two billion, one hundred forty-four million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 383 766 1532 1915 3064 3830 6128 7660 12256 15320 17497 24512 30640 34994 61280 69988 87485 122560 139976 174970 279952 349940 559904 699880 1119808 1399760 2799520 5599040 6701351 13402702 26805404 33506755 53610808 67013510 107221616 134027020 214443232 268054040 428886464 536108080 1072216160 2144432320