Search a number
-
+
216230000 = 245473089
BaseRepresentation
bin11001110001101…
…10100001110000
3120001212121210112
430320312201300
5420323330000
633242320452
75233632110
oct1470664160
9501777715
10216230000
11101068888
12604b9128
1335a4a75c
1420a09040
1513eb3235
hexce36870

216230000 has 100 divisors (see below), whose sum is σ = 598495920. Its totient is φ = 74112000.

The previous prime is 216229999. The next prime is 216230009. The reversal of 216230000 is 32612.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216230009) 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 19 ways as a sum of consecutive naturals, for example, 68456 + ... + 71544.

Almost surely, 2216230000 is an apocalyptic number.

216230000 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 216230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299247960).

216230000 is an abundant number, since it is smaller than the sum of its proper divisors (382265920).

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

216230000 is an equidigital number, since it uses as much as digits as its factorization.

216230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 216230000 is about 14704.7611337281. The cubic root of 216230000 is about 600.2128874189.

Adding to 216230000 its reverse (32612), we get a palindrome (216262612).

The spelling of 216230000 in words is "two hundred sixteen million, two hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3089 3500 4375 5000 6178 7000 8750 10000 12356 14000 15445 17500 21623 24712 30890 35000 43246 49424 61780 70000 77225 86492 108115 123560 154450 172984 216230 247120 308900 345968 386125 432460 540575 617800 772250 864920 1081150 1235600 1544500 1729840 1930625 2162300 2702875 3089000 3861250 4324600 5405750 6178000 7722500 8649200 10811500 13514375 15445000 21623000 27028750 30890000 43246000 54057500 108115000 216230000