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23200000 = 285529
BaseRepresentation
bin101100010000…
…0000100000000
31121122200102021
41120200010000
521414400000
62145131224
7401124325
oct130400400
947580367
1023200000
111210655a
127929b14
134a63b15
14311cb4c
15208411a
hex1620100

23200000 has 108 divisors (see below), whose sum is σ = 59878980. Its totient is φ = 8960000.

The previous prime is 23199989. The next prime is 23200027. The reversal of 23200000 is 232.

It can be written as a sum of positive squares in 6 ways, for example, as 18939904 + 4260096 = 4352^2 + 2064^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799986 + ... + 800014.

It is an arithmetic number, because the mean of its divisors is an integer number (554435).

Almost surely, 223200000 is an apocalyptic number.

23200000 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 23200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29939490).

23200000 is an abundant number, since it is smaller than the sum of its proper divisors (36678980).

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

23200000 is an frugal number, since it uses more digits than its factorization.

23200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

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

The square root of 23200000 is about 4816.6378315169. The cubic root of 23200000 is about 285.2086294285.

Adding to 23200000 its reverse (232), we get a palindrome (23200232).

23200000 divided by its reverse (232) gives a 5-th power (100000 = 105).

The spelling of 23200000 in words is "twenty-three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 256 290 320 400 464 500 580 625 640 725 800 928 1000 1160 1250 1280 1450 1600 1856 2000 2320 2500 2900 3125 3200 3625 3712 4000 4640 5000 5800 6250 6400 7250 7424 8000 9280 10000 11600 12500 14500 16000 18125 18560 20000 23200 25000 29000 32000 36250 37120 40000 46400 50000 58000 72500 80000 90625 92800 100000 116000 145000 160000 181250 185600 200000 232000 290000 362500 400000 464000 580000 725000 800000 928000 1160000 1450000 2320000 2900000 4640000 5800000 11600000 23200000