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23223331000032 = 2531274637410783
BaseRepresentation
bin1010100011111000110100…
…11001010000111011100000
310001020010110212102001212120
411101330122121100323200
511020442340214000112
6121220352340024240
74614554535324162
oct521743231207340
9101203425361776
1023223331000032
117443a60a11619
122730a06692080
13cc5c48954c67
145a402da86932
152a415ae42e8c
hex151f1a650ee0

23223331000032 has 96 divisors (see below), whose sum is σ = 61454653489152. Its totient is φ = 7678481739264.

The previous prime is 23223331000007. The next prime is 23223331000061. The reversal of 23223331000032 is 23000013332232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23223330999966 and 23223331000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56328913 + ... + 56739695.

It is an arithmetic number, because the mean of its divisors is an integer number (640152640512).

Almost surely, 223223331000032 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 23223331000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30727326744576).

23223331000032 is an abundant number, since it is smaller than the sum of its proper divisors (38231322489120).

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

23223331000032 is a wasteful number, since it uses less digits than its factorization.

23223331000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415560 (or 415552 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23223331000032 its reverse (23000013332232), we get a palindrome (46223344332264).

The spelling of 23223331000032 in words is "twenty-three trillion, two hundred twenty-three billion, three hundred thirty-one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 4637 6096 9274 12192 13911 18548 27822 37096 55644 74192 111288 148384 222576 410783 445152 588899 821566 1177798 1232349 1643132 1766697 2355596 2464698 3286264 3533394 4711192 4929396 6572528 7066788 9422384 9858792 13145056 14133576 18844768 19717584 28267152 39435168 52169441 56534304 104338882 156508323 208677764 313016646 417355528 626033292 834711056 1252066584 1669422112 1904800771 2504133168 3809601542 5008266336 5714402313 7619203084 11428804626 15238406168 22857609252 30476812336 45715218504 60953624672 91430437008 182860874016 241909697917 483819395834 725729093751 967638791668 1451458187502 1935277583336 2902916375004 3870555166672 5805832750008 7741110333344 11611665500016 23223331000032