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2142231424 = 2747894001
BaseRepresentation
bin111111110101111…
…1101101110000000
312112021222122001121
41333223331232000
513341402401144
6552323242024
7104041444444
oct17753755600
95467878047
102142231424
119aa2631a3
124b9519314
13281a86278
14164720824
15c810a384
hex7fafdb80

2142231424 has 64 divisors (see below), whose sum is σ = 4408603200. Its totient is φ = 1036288000.

The previous prime is 2142231419. The next prime is 2142231449. The reversal of 2142231424 is 4241322412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent 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, 533424 + ... + 537424.

It is an arithmetic number, because the mean of its divisors is an integer number (68884425).

Almost surely, 22142231424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204301600).

2142231424 is an abundant number, since it is smaller than the sum of its proper divisors (2266371776).

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

2142231424 is an equidigital number, since it uses as much as digits as its factorization.

2142231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4139 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 2142231424 is about 46284.2459590734. The cubic root of 2142231424 is about 1289.1064910095.

Adding to 2142231424 its reverse (4241322412), we get a palindrome (6383553836).

The spelling of 2142231424 in words is "two billion, one hundred forty-two million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 64 89 94 128 178 188 356 376 712 752 1424 1504 2848 3008 4001 4183 5696 6016 8002 8366 11392 16004 16732 32008 33464 64016 66928 128032 133856 188047 256064 267712 356089 376094 512128 535424 712178 752188 1424356 1504376 2848712 3008752 5697424 6017504 11394848 12035008 16736183 22789696 24070016 33472366 45579392 66944732 133889464 267778928 535557856 1071115712 2142231424