Search a number
-
+
194422656 = 2734153233
BaseRepresentation
bin10111001011010…
…10011110000000
3111112211200202010
423211222132000
5344233011111
631143052520
74550364621
oct1345523600
9445750663
10194422656
119a82368a
1255141140
13313837bc
141bb6da48
1512106aa6
hexb96a780

194422656 has 128 divisors (see below), whose sum is σ = 541326240. Its totient is φ = 61767680.

The previous prime is 194422643. The next prime is 194422661. The reversal of 194422656 is 656224491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 834316 + ... + 834548.

Almost surely, 2194422656 is an apocalyptic number.

194422656 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 194422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270663120).

194422656 is an abundant number, since it is smaller than the sum of its proper divisors (346903584).

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

194422656 is a wasteful number, since it uses less digits than its factorization.

194422656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 194422656 is about 13943.5524885160. The cubic root of 194422656 is about 579.3161341356.

The spelling of 194422656 in words is "one hundred ninety-four million, four hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 53 64 82 96 106 123 128 159 164 192 212 233 246 318 328 384 424 466 492 636 656 699 848 932 984 1272 1312 1398 1696 1864 1968 2173 2544 2624 2796 3392 3728 3936 4346 5088 5248 5592 6519 6784 7456 7872 8692 9553 10176 11184 12349 13038 14912 15744 17384 19106 20352 22368 24698 26076 28659 29824 34768 37047 38212 44736 49396 52152 57318 69536 74094 76424 89472 98792 104304 114636 139072 148188 152848 197584 208608 229272 278144 296376 305696 395168 417216 458544 506309 592752 611392 790336 834432 917088 1012618 1185504 1222784 1518927 1580672 1834176 2025236 2371008 3037854 3668352 4050472 4742016 6075708 8100944 12151416 16201888 24302832 32403776 48605664 64807552 97211328 194422656