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33230133144 = 233313191075821
BaseRepresentation
bin11110111100101010…
…111001011110011000
310011202212100200001000
4132330222321132120
51021023403230034
623133221025000
72254321320435
oct367452713630
9104685320030
1033230133144
11131025a895a
126534855160
1331976543a0
141873438b8c
15ce74ca599
hex7bcab9798

33230133144 has 256 divisors, whose sum is σ = 105634368000. Its totient is φ = 9594339840.

The previous prime is 33230133107. The next prime is 33230133151. The reversal of 33230133144 is 44133103233.

33230133144 is a `hidden beast` number, since 3 + 323 + 0 + 1 + 331 + 4 + 4 = 666.

It is a super-2 number, since 2×332301331442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5705754 + ... + 5711574.

It is an arithmetic number, because the mean of its divisors is an integer number (412634250).

Almost surely, 233230133144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33230133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52817184000).

33230133144 is an abundant number, since it is smaller than the sum of its proper divisors (72404234856).

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

33230133144 is a wasteful number, since it uses less digits than its factorization.

33230133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 33230133144 its reverse (44133103233), we get a palindrome (77363236377).

The spelling of 33230133144 in words is "thirty-three billion, two hundred thirty million, one hundred thirty-three thousand, one hundred forty-four".