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23002144 = 2511101647
BaseRepresentation
bin101011110111…
…1110000100000
31121021122000021
41113233300200
521342032034
62141003224
7366341434
oct127576040
947248007
1023002144
1111a90940
127853514
1349c4a49
1430aa9c4
1520456b4
hex15efc20

23002144 has 48 divisors (see below), whose sum is σ = 49968576. Its totient is φ = 10336000.

The previous prime is 23002127. The next prime is 23002151. The reversal of 23002144 is 44120032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35229 + ... + 35875.

It is an arithmetic number, because the mean of its divisors is an integer number (1041012).

Almost surely, 223002144 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 23002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24984288).

23002144 is an abundant number, since it is smaller than the sum of its proper divisors (26966432).

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

23002144 is a wasteful number, since it uses less digits than its factorization.

23002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 23002144 is about 4796.0550455557. The cubic root of 23002144 is about 284.3955343060.

Adding to 23002144 its reverse (44120032), we get a palindrome (67122176).

It can be divided in two parts, 2300 and 2144, that added together give a palindrome (4444).

The spelling of 23002144 in words is "twenty-three million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 647 808 1111 1294 1616 2222 2588 3232 4444 5176 7117 8888 10352 14234 17776 20704 28468 35552 56936 65347 113872 130694 227744 261388 522776 718817 1045552 1437634 2091104 2875268 5750536 11501072 23002144