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212110200 = 233252117839
BaseRepresentation
bin11001010010010…
…00101101111000
3112210010022111100
430221020231320
5413300011300
633014131400
75153623041
oct1451105570
9483108440
10212110200
11a9804595
125b050b60
1334c374c3
14202558c8
151394c700
hexca48b78

212110200 has 72 divisors (see below), whose sum is σ = 712342800. Its totient is φ = 56562240.

The previous prime is 212110189. The next prime is 212110211. The reversal of 212110200 is 2011212.

It is an interprime number because it is at equal distance from previous prime (212110189) and next prime (212110211).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 57120 + ... + 60719.

It is an arithmetic number, because the mean of its divisors is an integer number (9893650).

Almost surely, 2212110200 is an apocalyptic number.

212110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110200 is an abundant number, since it is smaller than the sum of its proper divisors (500232600).

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

212110200 is a wasteful number, since it uses less digits than its factorization.

212110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117861 (or 117849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 212110200 is about 14564.0035704472. The cubic root of 212110200 is about 596.3764943970.

Adding to 212110200 its reverse (2011212), we get a palindrome (214121412).

It can be divided in two parts, 2121 and 10200, that added together give a palindrome (12321).

The spelling of 212110200 in words is "two hundred twelve million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 117839 235678 353517 471356 589195 707034 942712 1060551 1178390 1414068 1767585 2121102 2356780 2828136 2945975 3535170 4242204 4713560 5302755 5891950 7070340 8484408 8837925 10605510 11783900 14140680 17675850 21211020 23567800 26513775 35351700 42422040 53027550 70703400 106055100 212110200