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194393300 = 225217412789
BaseRepresentation
bin10111001011000…
…11010011010100
3111112210012110212
423211203103110
5344231041200
631142304552
74550213213
oct1345432324
9445705425
10194393300
119a803622
1255128158
133137332a
141bb6307a
15120ed035
hexb9634d4

194393300 has 72 divisors (see below), whose sum is σ = 457705080. Its totient is φ = 71372800.

The previous prime is 194393299. The next prime is 194393357. The reversal of 194393300 is 3393491.

194393300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 62694724 + 131698576 = 7918^2 + 11476^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68306 + ... + 71094.

It is an arithmetic number, because the mean of its divisors is an integer number (6357015).

Almost surely, 2194393300 is an apocalyptic number.

194393300 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 194393300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228852540).

194393300 is an abundant number, since it is smaller than the sum of its proper divisors (263311780).

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

194393300 is a wasteful number, since it uses less digits than its factorization.

194393300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 194393300 is about 13942.4997758652. The cubic root of 194393300 is about 579.2869755646.

The spelling of 194393300 in words is "one hundred ninety-four million, three hundred ninety-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 340 410 425 697 820 850 1025 1394 1700 2050 2788 2789 3485 4100 5578 6970 11156 13940 13945 17425 27890 34850 47413 55780 69700 69725 94826 114349 139450 189652 228698 237065 278900 457396 474130 571745 948260 1143490 1185325 1943933 2286980 2370650 2858725 3887866 4741300 5717450 7775732 9719665 11434900 19439330 38878660 48598325 97196650 194393300