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23441000 = 2353112131
BaseRepresentation
bin101100101101…
…0111001101000
31122002221000012
41121122321220
522000103000
62154231052
7403150052
oct131327150
948087005
1023441000
1112260630
127a25488
134b1971b
1431828d2
1520d0735
hex165ae68

23441000 has 64 divisors (see below), whose sum is σ = 59866560. Its totient is φ = 8520000.

The previous prime is 23440987. The next prime is 23441021. The reversal of 23441000 is 14432.

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 15 ways as a sum of consecutive naturals, for example, 9935 + ... + 12065.

It is an arithmetic number, because the mean of its divisors is an integer number (935415).

Almost surely, 223441000 is an apocalyptic number.

23441000 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 23441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29933280).

23441000 is an abundant number, since it is smaller than the sum of its proper divisors (36425560).

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

23441000 is a wasteful number, since it uses less digits than its factorization.

23441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23441000 is about 4841.5906477107. The cubic root of 23441000 is about 286.1928052621.

Adding to 23441000 its reverse (14432), we get a palindrome (23455432).

The spelling of 23441000 in words is "twenty-three million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2131 2200 2750 4262 5500 8524 10655 11000 17048 21310 23441 42620 46882 53275 85240 93764 106550 117205 187528 213100 234410 266375 426200 468820 532750 586025 937640 1065500 1172050 2131000 2344100 2930125 4688200 5860250 11720500 23441000