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23200 = 255229
BaseRepresentation
bin101101010100000
31011211021
411222200
51220300
6255224
7124432
oct55240
934737
1023200
1116481
1211514
13a738
148652
156d1a
hex5aa0

23200 has 36 divisors (see below), whose sum is σ = 58590. Its totient is φ = 8960.

The previous prime is 23197. The next prime is 23201. The reversal of 23200 is 232.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 5776 = 132^2 + 76^2 .

It is a nialpdrome in base 14.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (23201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 786 + ... + 814.

223200 is an apocalyptic number.

23200 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 23200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29295).

23200 is an abundant number, since it is smaller than the sum of its proper divisors (35390).

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

23200 is a wasteful number, since it uses less digits than its factorization.

23200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 23200 is about 152.3154621173. The cubic root of 23200 is about 28.5208629428.

Adding to 23200 its reverse (232), we get a palindrome (23432).

Multiplying 23200 by its reverse (232), we get a square (5382400 = 23202).

23200 divided by its reverse (232) gives a square (100 = 102).

It can be divided in two parts, 2 and 3200, that multiplied together give a square (6400 = 802).

The spelling of 23200 in words is "twenty-three thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 23200