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2141224104 = 233106983459
BaseRepresentation
bin111111110100000…
…0111110010101000
312112020002110021110
41333220013302220
513341123132404
6552245510320
7104030050605
oct17750076250
95466073243
102141224104
119a97353a8
124b91123a0
132817c2916
1416453b6ac
15c7eabb89
hex7fa07ca8

2141224104 has 32 divisors (see below), whose sum is σ = 5358132000. Its totient is φ = 713065152.

The previous prime is 2141224091. The next prime is 2141224121. The reversal of 2141224104 is 4014221412.

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, 16074 + ... + 67385.

It is an arithmetic number, because the mean of its divisors is an integer number (167441625).

Almost surely, 22141224104 is an apocalyptic number.

2141224104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141224104 is an abundant number, since it is smaller than the sum of its proper divisors (3216907896).

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

2141224104 is a wasteful number, since it uses less digits than its factorization.

2141224104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84537 (or 84533 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2141224104 is about 46273.3627911350. The cubic root of 2141224104 is about 1288.9044047919.

Adding to 2141224104 its reverse (4014221412), we get a palindrome (6155445516).

The spelling of 2141224104 in words is "two billion, one hundred forty-one million, two hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 1069 2138 3207 4276 6414 8552 12828 25656 83459 166918 250377 333836 500754 667672 1001508 2003016 89217671 178435342 267653013 356870684 535306026 713741368 1070612052 2141224104