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197082216 = 233223611951
BaseRepresentation
bin10111011111100…
…11110001101000
3111201211210222100
423233303301220
5400423112331
631320053400
74612112502
oct1357636150
9451753870
10197082216
11a127a871
1256004260
1331aa51c6
141c262d72
151247eae6
hexbbf3c68

197082216 has 96 divisors (see below), whose sum is σ = 566392320. Its totient is φ = 61776000.

The previous prime is 197082199. The next prime is 197082217. The reversal of 197082216 is 612280791.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197082217) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100041 + ... + 101991.

It is an arithmetic number, because the mean of its divisors is an integer number (5899920).

Almost surely, 2197082216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197082216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283196160).

197082216 is an abundant number, since it is smaller than the sum of its proper divisors (369310104).

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

197082216 is a wasteful number, since it uses less digits than its factorization.

197082216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 197082216 is about 14038.5973658340. The cubic root of 197082216 is about 581.9457206615.

The spelling of 197082216 in words is "one hundred ninety-seven million, eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 61 69 72 92 122 138 183 184 207 244 276 366 414 488 549 552 732 828 1098 1403 1464 1656 1951 2196 2806 3902 4209 4392 5612 5853 7804 8418 11224 11706 12627 15608 16836 17559 23412 25254 33672 35118 44873 46824 50508 70236 89746 101016 119011 134619 140472 179492 238022 269238 357033 358984 403857 476044 538476 714066 807714 952088 1071099 1076952 1428132 1615428 2142198 2737253 2856264 3230856 4284396 5474506 8211759 8568792 10949012 16423518 21898024 24635277 32847036 49270554 65694072 98541108 197082216