Search a number
-
+
194978912 = 25192373191
BaseRepresentation
bin10111001111100…
…10010001100000
3111120212221210012
423213302101200
5344403311122
631203024052
74555202432
oct1347622140
9446787705
10194978912
11a00735a7
125536b028
1331519a4b
141bc76652
15121b67e2
hexb9f2460

194978912 has 96 divisors (see below), whose sum is σ = 429649920. Its totient is φ = 86676480.

The previous prime is 194978879. The next prime is 194978923. The reversal of 194978912 is 219879491.

It is a super-2 number, since 2×1949789122 = 76033552249407488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1020737 + ... + 1020927.

It is an arithmetic number, because the mean of its divisors is an integer number (4475520).

Almost surely, 2194978912 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 194978912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214824960).

194978912 is an abundant number, since it is smaller than the sum of its proper divisors (234671008).

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

194978912 is a wasteful number, since it uses less digits than its factorization.

194978912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its digits is 326592, while the sum is 50.

The square root of 194978912 is about 13963.4849518306. The cubic root of 194978912 is about 579.8680952520.

The spelling of 194978912 in words is "one hundred ninety-four million, nine hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 23 32 38 46 73 76 92 146 152 184 191 292 304 368 382 437 584 608 736 764 874 1168 1387 1528 1679 1748 2336 2774 3056 3358 3496 3629 4393 5548 6112 6716 6992 7258 8786 11096 13432 13943 13984 14516 17572 22192 26864 27886 29032 31901 35144 44384 53728 55772 58064 63802 70288 83467 111544 116128 127604 140576 166934 223088 255208 264917 320689 333868 446176 510416 529834 641378 667736 1020832 1059668 1282756 1335472 2119336 2565512 2670944 4238672 5131024 6093091 8477344 10262048 12186182 24372364 48744728 97489456 194978912