Search a number
-
+
196920216 = 233237193383
BaseRepresentation
bin10111011110011…
…00001110011000
3111201112120202100
423233030032120
5400402421331
631312403400
74610536263
oct1357141630
9451476670
10196920216
11a117a089
1255b46560
1331a4954c
141c21dcda
151244bae6
hexbbcc398

196920216 has 96 divisors (see below), whose sum is σ = 552015360. Its totient is φ = 63369216.

The previous prime is 196920211. The next prime is 196920223. The reversal of 196920216 is 612029691.

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 (196920211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513961 + ... + 514343.

It is an arithmetic number, because the mean of its divisors is an integer number (5750160).

Almost surely, 2196920216 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 196920216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276007680).

196920216 is an abundant number, since it is smaller than the sum of its proper divisors (355095144).

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

196920216 is a wasteful number, since it uses less digits than its factorization.

196920216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 196920216 is about 14032.8263724739. The cubic root of 196920216 is about 581.7862253814.

It can be divided in two parts, 196920 and 216, that added together give a square (197136 = 4442).

The spelling of 196920216 in words is "one hundred ninety-six million, nine hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 193 222 296 333 383 386 444 579 666 766 772 888 1149 1158 1332 1532 1544 1737 2298 2316 2664 3064 3447 3474 4596 4632 6894 6948 7141 9192 13788 13896 14171 14282 21423 27576 28342 28564 42513 42846 56684 57128 64269 73919 85026 85692 113368 127539 128538 147838 170052 171384 221757 255078 257076 295676 340104 443514 510156 514152 591352 665271 887028 1020312 1330542 1774056 2661084 2735003 5322168 5470006 8205009 10940012 16410018 21880024 24615027 32820036 49230054 65640072 98460108 196920216