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23314200 = 23352721361
BaseRepresentation
bin101100011101…
…1111100011000
31121212111001220
41120323330120
521432023300
62151412040
7402111300
oct130737430
947774056
1023314200
1112184338
127984020
134aa3ab0
14314c600
1520a7da0
hex163bf18

23314200 has 288 divisors, whose sum is σ = 92025360. Its totient is φ = 4838400.

The previous prime is 23314183. The next prime is 23314237. The reversal of 23314200 is 241332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23314200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382170 + ... + 382230.

Almost surely, 223314200 is an apocalyptic number.

23314200 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 23314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46012680).

23314200 is an abundant number, since it is smaller than the sum of its proper divisors (68711160).

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

23314200 is a wasteful number, since it uses less digits than its factorization.

23314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23314200 is about 4828.4780210745. The cubic root of 23314200 is about 285.6758353019.

Adding to 23314200 its reverse (241332), we get a palindrome (23555532).

The spelling of 23314200 in words is "twenty-three million, three hundred fourteen thousand, two hundred".