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212302300 = 225272371171
BaseRepresentation
bin11001010011101…
…11100111011100
3112210111002000011
430221313213130
5413322133200
633022213004
75155353100
oct1451674734
9483432004
10212302300
11a9925951
125b124164
1334ca3a82
14202a5900
15139895ba
hexca779dc

212302300 has 108 divisors (see below), whose sum is σ = 550865784. Its totient is φ = 70761600.

The previous prime is 212302289. The next prime is 212302327. The reversal of 212302300 is 3203212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 180715 + ... + 181885.

Almost surely, 2212302300 is an apocalyptic number.

212302300 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 212302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275432892).

212302300 is an abundant number, since it is smaller than the sum of its proper divisors (338563484).

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

212302300 is a wasteful number, since it uses less digits than its factorization.

212302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 212302300 is about 14570.5971051292. The cubic root of 212302300 is about 596.5564784439.

Adding to 212302300 its reverse (3203212), we get a palindrome (215505512).

The spelling of 212302300 in words is "two hundred twelve million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 49 50 70 74 98 100 140 148 175 185 196 245 259 350 370 490 518 700 740 925 980 1036 1171 1225 1295 1813 1850 2342 2450 2590 3626 3700 4684 4900 5180 5855 6475 7252 8197 9065 11710 12950 16394 18130 23420 25900 29275 32788 36260 40985 43327 45325 57379 58550 81970 86654 90650 114758 117100 163940 173308 181300 204925 216635 229516 286895 303289 409850 433270 573790 606578 819700 866540 1083175 1147580 1213156 1434475 1516445 2123023 2166350 2868950 3032890 4246046 4332700 5737900 6065780 7582225 8492092 10615115 15164450 21230230 30328900 42460460 53075575 106151150 212302300