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212349660 = 223537412333
BaseRepresentation
bin11001010100000…
…11001011011100
3112210120110222020
430222003023130
5413330142120
633023220140
75155641135
oct1452031334
9483513866
10212349660
11a9958496
125b147650
1334cbc4b3
14202b8c8c
1513998640
hexca832dc

212349660 has 96 divisors (see below), whose sum is σ = 625810752. Its totient is φ = 53729280.

The previous prime is 212349653. The next prime is 212349661. The reversal of 212349660 is 66943212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212349661) by changing a digit.

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, 89854 + ... + 92186.

It is an arithmetic number, because the mean of its divisors is an integer number (6518862).

Almost surely, 2212349660 is an apocalyptic number.

212349660 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 212349660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312905376).

212349660 is an abundant number, since it is smaller than the sum of its proper divisors (413461092).

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

212349660 is a wasteful number, since it uses less digits than its factorization.

212349660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 212349660 is about 14572.2222052781. Note that the first 4 decimals coincide. The cubic root of 212349660 is about 596.6008347136.

The spelling of 212349660 in words is "two hundred twelve million, three hundred forty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 41 60 74 82 111 123 148 164 185 205 222 246 370 410 444 492 555 615 740 820 1110 1230 1517 2220 2333 2460 3034 4551 4666 6068 6999 7585 9102 9332 11665 13998 15170 18204 22755 23330 27996 30340 34995 45510 46660 69990 86321 91020 95653 139980 172642 191306 258963 286959 345284 382612 431605 478265 517926 573918 863210 956530 1035852 1147836 1294815 1434795 1726420 1913060 2589630 2869590 3539161 5179260 5739180 7078322 10617483 14156644 17695805 21234966 35391610 42469932 53087415 70783220 106174830 212349660