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194145984 = 2634172203
BaseRepresentation
bin10111001001001…
…10111011000000
3111112022122020000
423210212323000
5344200132414
631133120000
74545133164
oct1344467300
9445278200
10194145984
119a65482a
1255029000
13312b78a6
141badaca4
151209eb09
hexb926ec0

194145984 has 140 divisors (see below), whose sum is σ = 609639624. Its totient is φ = 60880896.

The previous prime is 194145979. The next prime is 194146019. The reversal of 194145984 is 489541491.

It is a happy number.

194145984 is a `hidden beast` number, since 19 + 41 + 4 + 598 + 4 = 666.

194145984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 19 ways as a sum of consecutive naturals, for example, 87027 + ... + 89229.

Almost surely, 2194145984 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 194145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819812).

194145984 is an abundant number, since it is smaller than the sum of its proper divisors (415493640).

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

194145984 is a wasteful number, since it uses less digits than its factorization.

194145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2225 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 194145984 is about 13933.6278118801. The cubic root of 194145984 is about 579.0412062273.

The spelling of 194145984 in words is "one hundred ninety-four million, one hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2203 2448 2592 2754 3264 3672 4406 4896 5184 5508 6609 7344 8812 9792 11016 13218 14688 17624 19827 22032 26436 29376 35248 37451 39654 44064 52872 59481 70496 74902 79308 88128 105744 112353 118962 140992 149804 158616 178443 211488 224706 237924 299608 317232 337059 356886 422976 449412 475848 599216 634464 674118 713772 898824 951696 1011177 1198432 1268928 1348236 1427544 1797648 1903392 2022354 2396864 2696472 2855088 3033531 3595296 3806784 4044708 5392944 5710176 6067062 7190592 8089416 10785888 11420352 12134124 16178832 21571776 24268248 32357664 48536496 64715328 97072992 194145984