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23033234224000 = 27537111329101491
BaseRepresentation
bin1010011110010110101111…
…01111100111001110000000
310000112221210200210021202001
411033023113233213032000
511004334030430132000
6120553153254233344
74565045005355230
oct517132757471600
9100487720707661
1023033234224000
117380381276140
1226bbbb3655854
13cb104226b030
14598b58d35cc0
1529e23211246a
hex14f2d7be7380

23033234224000 has 2048 divisors, whose sum is σ = 80491603046400. Its totient is φ = 6322176000000.

The previous prime is 23033234223973. The next prime is 23033234224001. The reversal of 23033234224000 is 42243233032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23033234224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23033234224001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46910863755 + ... + 46910864245.

It is an arithmetic number, because the mean of its divisors is an integer number (39302540550).

Almost surely, 223033234224000 is an apocalyptic number.

23033234224000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23033234224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40245801523200).

23033234224000 is an abundant number, since it is smaller than the sum of its proper divisors (57458368822400).

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

23033234224000 is a wasteful number, since it uses less digits than its factorization.

23033234224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 23033234224000 its reverse (42243233032), we get a palindrome (23075477457032).

The spelling of 23033234224000 in words is "twenty-three trillion, thirty-three billion, two hundred thirty-four million, two hundred twenty-four thousand".