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198058212 = 2232114431129
BaseRepresentation
bin10111100111000…
…10000011100100
3111210200101210100
423303202003210
5401200330322
631353024100
74623316122
oct1363420344
9453611710
10198058212
11a1887080
12563b5030
1332057511
141c438912
15125c3dac
hexbce20e4

198058212 has 72 divisors (see below), whose sum is σ = 547878240. Its totient is φ = 59829120.

The previous prime is 198058171. The next prime is 198058213. The reversal of 198058212 is 212850891.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (198058213) 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 23 ways as a sum of consecutive naturals, for example, 174864 + ... + 175992.

It is an arithmetic number, because the mean of its divisors is an integer number (7609420).

Almost surely, 2198058212 is an apocalyptic number.

198058212 is a gapful number since it is divisible by the number (12) 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 198058212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273939120).

198058212 is an abundant number, since it is smaller than the sum of its proper divisors (349820028).

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

198058212 is a wasteful number, since it uses less digits than its factorization.

198058212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 198058212 is about 14073.3156008099. The cubic root of 198058212 is about 582.9047817999.

The spelling of 198058212 in words is "one hundred ninety-eight million, fifty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 443 886 1129 1329 1772 2258 2658 3387 3987 4516 4873 5316 6774 7974 9746 10161 12419 13548 14619 15948 19492 20322 24838 29238 37257 40644 43857 49676 58476 74514 87714 111771 149028 175428 223542 447084 500147 1000294 1500441 2000588 3000882 4501323 5501617 6001764 9002646 11003234 16504851 18005292 22006468 33009702 49514553 66019404 99029106 198058212