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197218125 = 3354132931
BaseRepresentation
bin10111100000101…
…00111101001101
3111202002201102000
423300110331031
5400441440000
631323022513
74613216646
oct1360247515
9452081360
10197218125
11a1362995
125606aa39
1331b22020
141c29a6cd
15124aa000
hexbc14f4d

197218125 has 160 divisors (see below), whose sum is σ = 419865600. Its totient is φ = 90720000.

The previous prime is 197218121. The next prime is 197218127. The reversal of 197218125 is 521812791.

It is a happy number.

It is not a de Polignac number, because 197218125 - 22 = 197218121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 197218125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197218121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6361860 + ... + 6361890.

It is an arithmetic number, because the mean of its divisors is an integer number (2624160).

Almost surely, 2197218125 is an apocalyptic number.

197218125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

197218125 is an abundant number, since it is smaller than the sum of its proper divisors (222647475).

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

197218125 is a wasteful number, since it uses less digits than its factorization.

197218125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 197218125 is about 14043.4370792908. The cubic root of 197218125 is about 582.0794609330.

The spelling of 197218125 in words is "one hundred ninety-seven million, two hundred eighteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 29 31 39 45 65 75 87 93 117 125 135 145 155 195 225 261 279 325 351 375 377 403 435 465 585 625 675 725 775 783 837 899 975 1125 1131 1209 1305 1395 1625 1755 1875 1885 2015 2175 2325 2697 2925 3375 3393 3625 3627 3875 3915 4185 4495 4875 5625 5655 6045 6525 6975 8091 8125 8775 9425 10075 10179 10875 10881 11625 11687 13485 14625 16875 16965 18125 18135 19375 19575 20925 22475 24273 24375 28275 30225 32625 34875 35061 40455 43875 47125 50375 50895 54375 54405 58125 58435 67425 73125 84825 90675 97875 104625 105183 112375 121365 141375 151125 163125 174375 175305 202275 219375 235625 251875 254475 272025 292175 315549 337125 424125 453375 489375 523125 525915 561875 606825 706875 755625 876525 1011375 1272375 1360125 1460875 1577745 1685625 2120625 2266875 2629575 3034125 4382625 5056875 6361875 6800625 7304375 7888725 13147875 15170625 21913125 39443625 65739375 197218125