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23041200 = 24352713211
BaseRepresentation
bin101011111100…
…1010010110000
31121100121120210
41113321102300
521344304300
62141504120
7366563340
oct127712260
947317523
1023041200
1112008216
127872040
134a09760
1430bad20
152052050
hex15f94b0

23041200 has 240 divisors, whose sum is σ = 91271936. Its totient is φ = 4838400.

The previous prime is 23041199. The next prime is 23041201. The reversal of 23041200 is 214032.

23041200 = 8332 + 8342 + ... + 8642.

It is an interprime number because it is at equal distance from previous prime (23041199) and next prime (23041201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (23041201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 109095 + ... + 109305.

Almost surely, 223041200 is an apocalyptic number.

23041200 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 23041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45635968).

23041200 is an abundant number, since it is smaller than the sum of its proper divisors (68230736).

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

23041200 is a wasteful number, since it uses less digits than its factorization.

23041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 23041200 is about 4800.1249983724. The cubic root of 23041200 is about 284.5564044030.

Adding to 23041200 its reverse (214032), we get a palindrome (23255232).

The spelling of 23041200 in words is "twenty-three million, forty-one thousand, two hundred".