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212300200 = 23527151643
BaseRepresentation
bin11001010011101…
…11000110101000
3112210110222010101
430221313012220
5413322101300
633022155144
75155344010
oct1451670650
9483428111
10212300200
11a9924312
125b122ab4
1334ca2b28
14202a4c40
1513988b6a
hexca771a8

212300200 has 48 divisors (see below), whose sum is σ = 564115680. Its totient is φ = 72788160.

The previous prime is 212300197. The next prime is 212300203. The reversal of 212300200 is 2003212.

212300200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212300197) and next prime (212300203).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212300203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74422 + ... + 77221.

It is an arithmetic number, because the mean of its divisors is an integer number (11752410).

Almost surely, 2212300200 is an apocalyptic number.

212300200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212300200 is an abundant number, since it is smaller than the sum of its proper divisors (351815480).

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

212300200 is a wasteful number, since it uses less digits than its factorization.

212300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151666 (or 151657 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 212300200 is about 14570.5250420155. The cubic root of 212300200 is about 596.5545114803.

Adding to 212300200 its reverse (2003212), we get a palindrome (214303412).

The spelling of 212300200 in words is "two hundred twelve million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 151643 303286 606572 758215 1061501 1213144 1516430 2123002 3032860 3791075 4246004 5307505 6065720 7582150 8492008 10615010 15164300 21230020 26537525 30328600 42460040 53075050 106150100 212300200