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23006229120 = 27355723019
BaseRepresentation
bin10101011011010001…
…110011001010000000
32012101100021112100000
4111123101303022000
5334104043312440
614322515200000
71443054502200
oct253321631200
965340245300
1023006229120
1198364644a6
1245608a6000
132228460534
141183670400
158e9b40730
hex55b473280

23006229120 has 576 divisors, whose sum is σ = 95868208800. Its totient is φ = 5256824832.

The previous prime is 23006229107. The next prime is 23006229143. The reversal of 23006229120 is 2192260032.

23006229120 is a `hidden beast` number, since 2 + 30 + 0 + 622 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7618971 + ... + 7621989.

Almost surely, 223006229120 is an apocalyptic number.

23006229120 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 23006229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47934104400).

23006229120 is an abundant number, since it is smaller than the sum of its proper divisors (72861979680).

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

23006229120 is an equidigital number, since it uses as much as digits as its factorization.

23006229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 23006229120 its reverse (2192260032), we get a palindrome (25198489152).

The spelling of 23006229120 in words is "twenty-three billion, six million, two hundred twenty-nine thousand, one hundred twenty".