Search a number
-
+
194314920 = 233547131263
BaseRepresentation
bin10111001010100…
…00001010101000
3111112122012221220
423211100022220
5344221034140
631140502040
74546435542
oct1345201250
9445565856
10194314920
119a75a748
12550aa920
1331346757
141bb42692
15120d4bd0
hexb9502a8

194314920 has 128 divisors (see below), whose sum is σ = 602173440. Its totient is φ = 50136320.

The previous prime is 194314871. The next prime is 194314927. The reversal of 194314920 is 29413491.

It is not an unprimeable number, because it can be changed into a prime (194314927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738709 + ... + 738971.

It is an arithmetic number, because the mean of its divisors is an integer number (4704480).

Almost surely, 2194314920 is an apocalyptic number.

194314920 is a gapful number since it is divisible by the number (10) 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 194314920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301086720).

194314920 is an abundant number, since it is smaller than the sum of its proper divisors (407858520).

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

194314920 is a wasteful number, since it uses less digits than its factorization.

194314920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 194314920 is about 13939.6886622335. The cubic root of 194314920 is about 579.2091083114.

The spelling of 194314920 in words is "one hundred ninety-four million, three hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 131 141 188 235 262 263 282 376 393 470 524 526 564 655 705 786 789 940 1048 1052 1128 1310 1315 1410 1572 1578 1880 1965 2104 2620 2630 2820 3144 3156 3930 3945 5240 5260 5640 6157 6312 7860 7890 10520 12314 12361 15720 15780 18471 24628 24722 30785 31560 34453 36942 37083 49256 49444 61570 61805 68906 73884 74166 92355 98888 103359 123140 123610 137812 147768 148332 172265 184710 185415 206718 246280 247220 275624 296664 344530 369420 370830 413436 494440 516795 689060 738840 741660 826872 1033590 1378120 1483320 1619291 2067180 3238582 4134360 4857873 6477164 8096455 9715746 12954328 16192910 19431492 24289365 32385820 38862984 48578730 64771640 97157460 194314920