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23196000 = 253531933
BaseRepresentation
bin101100001111…
…1000101100000
31121122110221010
41120133011200
521414233000
62145100520
7401106552
oct130370540
947573833
1023196000
1112103553
127927740
134a62059
14311b4d2
152082d50
hex161f160

23196000 has 96 divisors (see below), whose sum is σ = 76029408. Its totient is φ = 6182400.

The previous prime is 23195993. The next prime is 23196011. The reversal of 23196000 is 69132.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11034 + ... + 12966.

It is an arithmetic number, because the mean of its divisors is an integer number (791973).

Almost surely, 223196000 is an apocalyptic number.

23196000 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 23196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38014704).

23196000 is an abundant number, since it is smaller than the sum of its proper divisors (52833408).

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

23196000 is a wasteful number, since it uses less digits than its factorization.

23196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 23196000 is about 4816.2225862184. Note that the first 3 decimals coincide. The cubic root of 23196000 is about 285.1922371858.

The spelling of 23196000 in words is "twenty-three million, one hundred ninety-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 1933 2000 2400 3000 3866 4000 5799 6000 7732 9665 11598 12000 15464 19330 23196 28995 30928 38660 46392 48325 57990 61856 77320 92784 96650 115980 144975 154640 185568 193300 231960 241625 289950 309280 386600 463920 483250 579900 724875 773200 927840 966500 1159800 1449750 1546400 1933000 2319600 2899500 3866000 4639200 5799000 7732000 11598000 23196000