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23189280 = 253548311
BaseRepresentation
bin101100001110…
…1011100100000
31121122010201020
41120131130200
521414024110
62145005440
7401051142
oct130353440
947563636
1023189280
11120a94a4
127923880
134a5bc8a
143118c92
152080d70
hex161d720

23189280 has 48 divisors (see below), whose sum is σ = 73047744. Its totient is φ = 6183680.

The previous prime is 23189279. The next prime is 23189293. The reversal of 23189280 is 8298132.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 23676 + ... + 24635.

It is an arithmetic number, because the mean of its divisors is an integer number (1521828).

Almost surely, 223189280 is an apocalyptic number.

23189280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23189280 is an abundant number, since it is smaller than the sum of its proper divisors (49858464).

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

23189280 is a wasteful number, since it uses less digits than its factorization.

23189280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48329 (or 48321 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 23189280 is about 4815.5248935085. The cubic root of 23189280 is about 285.1646939753.

The spelling of 23189280 in words is "twenty-three million, one hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 48311 96622 144933 193244 241555 289866 386488 483110 579732 724665 772976 966220 1159464 1449330 1545952 1932440 2318928 2898660 3864880 4637856 5797320 7729760 11594640 23189280