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33241412224 = 27614257353
BaseRepresentation
bin11110111101010101…
…111011001010000000
310011210122120201000201
4132331111323022000
51021034300142344
623134302454544
72254516225156
oct367525731200
9104718521021
1033241412224
1113108a02009
126538594454
133199aa31b7
141874b333d6
15ce84a74d4
hex7bd57b280

33241412224 has 32 divisors (see below), whose sum is σ = 67308766740. Its totient is φ = 16348231680.

The previous prime is 33241412173. The next prime is 33241412231. The reversal of 33241412224 is 42221414233.

It can be written as a sum of positive squares in 2 ways, for example, as 26804238400 + 6437173824 = 163720^2 + 80232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×332414122242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33241412192 and 33241412201.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2120869 + ... + 2136484.

Almost surely, 233241412224 is an apocalyptic number.

It is an amenable number.

33241412224 is an abundant number, since it is smaller than the sum of its proper divisors (34067354516).

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

33241412224 is an equidigital number, since it uses as much as digits as its factorization.

33241412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257428 (or 4257416 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

Adding to 33241412224 its reverse (42221414233), we get a palindrome (75462826457).

The spelling of 33241412224 in words is "thirty-three billion, two hundred forty-one million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 4257353 8514706 17029412 34058824 68117648 136235296 259698533 272470592 519397066 544941184 1038794132 2077588264 4155176528 8310353056 16620706112 33241412224