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194142336 = 2733147347
BaseRepresentation
bin10111001001001…
…10000010000000
3111112022110012220
423210212002000
5344200023321
631133051040
74545116433
oct1344460200
9445273186
10194142336
119a652013
1255026a80
13312b602b
141bad981a
151209d9c6
hexb926080

194142336 has 128 divisors (see below), whose sum is σ = 545218560. Its totient is φ = 61117440.

The previous prime is 194142281. The next prime is 194142341. The reversal of 194142336 is 633241491.

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

It is a junction number, because it is equal to n+sod(n) for n = 194142297 and 194142306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559315 + ... + 559661.

It is an arithmetic number, because the mean of its divisors is an integer number (4259520).

Almost surely, 2194142336 is an apocalyptic number.

194142336 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 194142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272609280).

194142336 is an abundant number, since it is smaller than the sum of its proper divisors (351076224).

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

194142336 is a wasteful number, since it uses less digits than its factorization.

194142336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 194142336 is about 13933.4969049410. The cubic root of 194142336 is about 579.0375794796.

The spelling of 194142336 in words is "one hundred ninety-four million, one hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 128 141 186 188 192 248 282 347 372 376 384 496 564 694 744 752 992 1041 1128 1388 1457 1488 1504 1984 2082 2256 2776 2914 2976 3008 3968 4164 4371 4512 5552 5828 5952 6016 8328 8742 9024 10757 11104 11656 11904 16309 16656 17484 18048 21514 22208 23312 32271 32618 33312 34968 43028 44416 46624 48927 64542 65236 66624 69936 86056 93248 97854 129084 130472 133248 139872 172112 186496 195708 258168 260944 279744 344224 391416 505579 516336 521888 559488 688448 782832 1011158 1032672 1043776 1376896 1516737 1565664 2022316 2065344 2087552 3033474 3131328 4044632 4130688 6066948 6262656 8089264 12133896 16178528 24267792 32357056 48535584 64714112 97071168 194142336