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196857216 = 27356329
BaseRepresentation
bin10111011101111…
…00110110000000
3111201102101100000
423232330312000
5400343412331
631311200000
74610154513
oct1356746600
9451371300
10196857216
11a1136816
1255b16000
1331a2697a
141c204d7a
15124380e6
hexbbbcd80

196857216 has 96 divisors (see below), whose sum is σ = 587550600. Its totient is φ = 65608704.

The previous prime is 196857203. The next prime is 196857251. The reversal of 196857216 is 612758691.

196857216 is a `hidden beast` number, since 1 + 9 + 68 + 572 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27940 + ... + 34268.

Almost surely, 2196857216 is an apocalyptic number.

196857216 is a gapful number since it is divisible by the number (16) 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 196857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293775300).

196857216 is an abundant number, since it is smaller than the sum of its proper divisors (390693384).

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

196857216 is an frugal number, since it uses more digits than its factorization.

196857216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6334 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 196857216 is about 14030.5814562334. The cubic root of 196857216 is about 581.7241758158.

The spelling of 196857216 in words is "one hundred ninety-six million, eight hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 6329 7776 10368 12658 15552 18987 25316 31104 37974 50632 56961 75948 101264 113922 151896 170883 202528 227844 303792 341766 405056 455688 512649 607584 683532 810112 911376 1025298 1215168 1367064 1537947 1822752 2050596 2430336 2734128 3075894 3645504 4101192 5468256 6151788 7291008 8202384 10936512 12303576 16404768 21873024 24607152 32809536 49214304 65619072 98428608 196857216