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194538500 = 2253131732
BaseRepresentation
bin10111001100001…
…10110000000100
3111120001120122122
423212012300010
5344300213000
631145345112
74551356432
oct1346066004
9446046578
10194538500
119a8a2722
1255198198
13313c4450
141bb9dd52
151212b085
hexb986c04

194538500 has 72 divisors (see below), whose sum is σ = 460214664. Its totient is φ = 71414400.

The previous prime is 194538451. The next prime is 194538521. The reversal of 194538500 is 5835491.

It can be written as a sum of positive squares in 12 ways, for example, as 83320384 + 111218116 = 9128^2 + 10546^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1124414 + ... + 1124586.

Almost surely, 2194538500 is an apocalyptic number.

194538500 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 194538500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230107332).

194538500 is an abundant number, since it is smaller than the sum of its proper divisors (265676164).

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

194538500 is a wasteful number, since it uses less digits than its factorization.

194538500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 194538500 is about 13947.7059045565. The cubic root of 194538500 is about 579.4311704095.

The spelling of 194538500 in words is "one hundred ninety-four million, five hundred thirty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 173 250 260 325 346 500 650 692 865 1300 1625 1730 2249 3250 3460 4325 4498 6500 8650 8996 11245 17300 21625 22490 29929 43250 44980 56225 59858 86500 112450 119716 149645 224900 281125 299290 389077 562250 598580 748225 778154 1124500 1496450 1556308 1945385 2992900 3741125 3890770 7482250 7781540 9726925 14964500 19453850 38907700 48634625 97269250 194538500