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1000224133 = 9711391253
BaseRepresentation
bin111011100111100…
…011010110000101
32120201002122120021
4323213203112011
54022024133013
6243130135141
733533523226
oct7347432605
92521078507
101000224133
11473667217
1223ab814b1
1312c2b81cc
1496ba924d
155cc27a8d
hex3b9e3585

1000224133 has 8 divisors (see below), whose sum is σ = 1019489688. Its totient is φ = 981141504.

The previous prime is 1000224103. The next prime is 1000224143. The reversal of 1000224133 is 3314220001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 159340129 + 840884004 = 12623^2 + 28998^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000224133 - 25 = 1000224101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000224103) by changing a digit.

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, 34666 + ... + 56587.

It is an arithmetic number, because the mean of its divisors is an integer number (127436211).

Almost surely, 21000224133 is an apocalyptic number.

It is an amenable number.

1000224133 is a deficient number, since it is larger than the sum of its proper divisors (19265555).

1000224133 is an equidigital number, since it uses as much as digits as its factorization.

1000224133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91463.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1000224133 is about 31626.3202570264. The cubic root of 1000224133 is about 1000.0747054190.

Adding to 1000224133 its reverse (3314220001), we get a palindrome (4314444134).

The spelling of 1000224133 in words is "one billion, two hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 97 113 10961 91253 8851541 10311589 1000224133