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212830000 = 245421283
BaseRepresentation
bin11001010111110…
…00011100110000
3112211110212212121
430223320130300
5413441030000
633041404024
75163011425
oct1453703460
9484425777
10212830000
11aa156369
125b339614
133512a016
14203a1d4c
1513a40b1a
hexcaf8730

212830000 has 50 divisors (see below), whose sum is σ = 515306924. Its totient is φ = 85128000.

The previous prime is 212829997. The next prime is 212830019. The reversal of 212830000 is 38212.

It is a happy number.

212830000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 642 + ... + 20641.

Almost surely, 2212830000 is an apocalyptic number.

212830000 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 212830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257653462).

212830000 is an abundant number, since it is smaller than the sum of its proper divisors (302476924).

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

212830000 is an equidigital number, since it uses as much as digits as its factorization.

212830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21311 (or 21290 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 212830000 is about 14588.6942527424. The cubic root of 212830000 is about 597.0503377315.

Adding to 212830000 its reverse (38212), we get a palindrome (212868212).

The spelling of 212830000 in words is "two hundred twelve million, eight 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 21283 42566 85132 106415 170264 212830 340528 425660 532075 851320 1064150 1702640 2128300 2660375 4256600 5320750 8513200 10641500 13301875 21283000 26603750 42566000 53207500 106415000 212830000