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194423328 = 2535112273
BaseRepresentation
bin10111001011010…
…10101000100000
3111112211201200000
423211222220200
5344233021303
631143100000
74550366601
oct1345525040
9445751600
10194423328
119a824140
1255141600
1331383bb8
141bb6dda8
1512106da3
hexb96aa20

194423328 has 144 divisors (see below), whose sum is σ = 625768416. Its totient is φ = 58890240.

The previous prime is 194423323. The next prime is 194423357. The reversal of 194423328 is 823324491.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 194423292 and 194423301.

It is not an unprimeable number, because it can be changed into a prime (194423321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84400 + ... + 86672.

It is an arithmetic number, because the mean of its divisors is an integer number (4345614).

Almost surely, 2194423328 is an apocalyptic number.

194423328 is a gapful number since it is divisible by the number (18) 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 194423328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312884208).

194423328 is an abundant number, since it is smaller than the sum of its proper divisors (431345088).

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

194423328 is a wasteful number, since it uses less digits than its factorization.

194423328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2289 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 194423328 is about 13943.5765856541. The cubic root of 194423328 is about 579.3168015818.

The spelling of 194423328 in words is "one hundred ninety-four million, four hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2273 2376 2592 2673 3168 3564 3888 4546 4752 5346 6819 7128 7776 9092 9504 10692 13638 14256 18184 20457 21384 25003 27276 28512 36368 40914 42768 50006 54552 61371 72736 75009 81828 85536 100012 109104 122742 150018 163656 184113 200024 218208 225027 245484 300036 327312 368226 400048 450054 490968 552339 600072 654624 675081 736452 800096 900108 981936 1104678 1200144 1350162 1472904 1800216 1963872 2025243 2209356 2400288 2700324 2945808 3600432 4050486 4418712 5400648 5891616 6075729 7200864 8100972 8837424 10801296 12151458 16201944 17674848 21602592 24302916 32403888 48605832 64807776 97211664 194423328