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212118480 = 24335714029
BaseRepresentation
bin11001010010010…
…10101111010000
3112210010201212000
430221022233100
5413300242410
633014234000
75153656140
oct1451125720
9483121760
10212118480
11a980a832
125b055900
1334c3b1c2
1420258920
151394edc0
hexca4abd0

212118480 has 160 divisors (see below), whose sum is σ = 835065600. Its totient is φ = 48480768.

The previous prime is 212118457. The next prime is 212118493. The reversal of 212118480 is 84811212.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 8106 + ... + 22134.

It is an arithmetic number, because the mean of its divisors is an integer number (5219160).

Almost surely, 2212118480 is an apocalyptic number.

212118480 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 212118480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417532800).

212118480 is an abundant number, since it is smaller than the sum of its proper divisors (622947120).

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

212118480 is a wasteful number, since it uses less digits than its factorization.

212118480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14058 (or 14046 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 212118480 is about 14564.2878301687. The cubic root of 212118480 is about 596.3842544090.

Adding to 212118480 its reverse (84811212), we get a palindrome (296929692).

The spelling of 212118480 in words is "two hundred twelve million, one hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 14029 15120 28058 42087 56116 70145 84174 98203 112232 126261 140290 168348 196406 210435 224464 252522 280580 294609 336696 378783 392812 420870 491015 505044 561160 589218 631305 673392 757566 785624 841740 883827 982030 1010088 1122320 1178436 1262610 1473045 1515132 1571248 1683480 1767654 1893915 1964060 2020176 2356872 2525220 2651481 2946090 3030264 3366960 3535308 3787830 3928120 4419135 4713744 5050440 5302962 5892180 6060528 7070616 7575660 7856240 8838270 10100880 10605924 11784360 13257405 14141232 15151320 17676540 21211848 23568720 26514810 30302640 35353080 42423696 53029620 70706160 106059240 212118480