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2000000442 = 231137819001
BaseRepresentation
bin111011100110101…
…1001010110111010
312011101100112211110
41313031121112322
513044000003232
6530242541150
7100363503036
oct16715312672
95141315743
102000000442
11936a47a30
124799677b6
1325b47761b
1414d8991c6
15ba8b2acc
hex773595ba

2000000442 has 32 divisors (see below), whose sum is σ = 4481578944. Its totient is φ = 589680000.

The previous prime is 2000000441. The next prime is 2000000503. The reversal of 2000000442 is 2440000002.

It is not an unprimeable number, because it can be changed into a prime (2000000441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407059 + ... + 411942.

It is an arithmetic number, because the mean of its divisors is an integer number (140049342).

Almost surely, 22000000442 is an apocalyptic number.

2000000442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2000000442 is an abundant number, since it is smaller than the sum of its proper divisors (2481578502).

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

2000000442 is a wasteful number, since it uses less digits than its factorization.

2000000442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819054.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2000000442 is about 44721.3644917058. The cubic root of 2000000442 is about 1259.9211427091.

Adding to 2000000442 its reverse (2440000002), we get a palindrome (4440000444).

The spelling of 2000000442 in words is "two billion, four hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 819001 1638002 2457003 4914006 9009011 18018022 27027033 30303037 54054066 60606074 90909111 181818222 333333407 666666814 1000000221 2000000442