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213230000 = 245421323
BaseRepresentation
bin11001011010110…
…10000110110000
3112212020012120102
430231122012300
5414041330000
633054131532
75166265544
oct1455320660
9485205512
10213230000
11aa3a9945
125b4b0ba8
133523a0c9
1420467a24
1513abe3d5
hexcb5a1b0

213230000 has 50 divisors (see below), whose sum is σ = 516275364. Its totient is φ = 85288000.

The previous prime is 213229993. The next prime is 213230009. The reversal of 213230000 is 32312.

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (213230009) 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 9 ways as a sum of consecutive naturals, for example, 662 + ... + 20661.

Almost surely, 2213230000 is an apocalyptic number.

213230000 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 213230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258137682).

213230000 is an abundant number, since it is smaller than the sum of its proper divisors (303045364).

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

213230000 is an equidigital number, since it uses as much as digits as its factorization.

213230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21351 (or 21330 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 213230000 is about 14602.3970634961. The cubic root of 213230000 is about 597.4241426079.

Adding to 213230000 its reverse (32312), we get a palindrome (213262312).

The spelling of 213230000 in words is "two hundred thirteen million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21323 42646 85292 106615 170584 213230 341168 426460 533075 852920 1066150 1705840 2132300 2665375 4264600 5330750 8529200 10661500 13326875 21323000 26653750 42646000 53307500 106615000 213230000