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2132221224 = 233712691793
BaseRepresentation
bin111111100010111…
…0001110100101000
312111121011001122110
41333011301310220
513331322034344
6551324522320
7103560403260
oct17705616450
95447131573
102132221224
119a4646401
124b60b03a0
1327c98cb83
141632767a0
15c72ce3b9
hex7f171d28

2132221224 has 32 divisors (see below), whose sum is σ = 6092061120. Its totient is φ = 609206016.

The previous prime is 2132221213. The next prime is 2132221253. The reversal of 2132221224 is 4221222312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2132221224.

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, 6345729 + ... + 6346064.

It is an arithmetic number, because the mean of its divisors is an integer number (190376910).

Almost surely, 22132221224 is an apocalyptic number.

2132221224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2132221224 is an abundant number, since it is smaller than the sum of its proper divisors (3959839896).

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

2132221224 is a wasteful number, since it uses less digits than its factorization.

2132221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12691809 (or 12691805 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2132221224 is about 46175.9810291021. The cubic root of 2132221224 is about 1287.0954468932.

Adding to 2132221224 its reverse (4221222312), we get a palindrome (6353443536).

The spelling of 2132221224 in words is "two billion, one hundred thirty-two million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 12691793 25383586 38075379 50767172 76150758 88842551 101534344 152301516 177685102 266527653 304603032 355370204 533055306 710740408 1066110612 2132221224