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194294912 = 27719101113
BaseRepresentation
bin10111001010010…
…11010010000000
3111112121012111212
423211023102000
5344214414122
631140225252
74546323320
oct1345132200
9445535455
10194294912
119a746709
125509b228
133133a606
141bb39280
15120cdce2
hexb94b480

194294912 has 128 divisors (see below), whose sum is σ = 474422400. Its totient is φ = 77414400.

The previous prime is 194294911. The next prime is 194294917. The reversal of 194294912 is 219492491.

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

It is a self number, because there is not a number n which added to its sum of digits gives 194294912.

It is not an unprimeable number, because it can be changed into a prime (194294911) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1719368 + ... + 1719480.

It is an arithmetic number, because the mean of its divisors is an integer number (3706425).

Almost surely, 2194294912 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 194294912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237211200).

194294912 is an abundant number, since it is smaller than the sum of its proper divisors (280127488).

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

194294912 is a wasteful number, since it uses less digits than its factorization.

194294912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its digits is 46656, while the sum is 41.

The square root of 194294912 is about 13938.9709806714. The cubic root of 194294912 is about 579.1892278452.

The spelling of 194294912 in words is "one hundred ninety-four million, two hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 101 112 113 128 133 152 202 224 226 266 304 404 448 452 532 608 707 791 808 896 904 1064 1216 1414 1582 1616 1808 1919 2128 2147 2432 2828 3164 3232 3616 3838 4256 4294 5656 6328 6464 7232 7676 8512 8588 11312 11413 12656 12928 13433 14464 15029 15352 17024 17176 22624 22826 25312 26866 30058 30704 34352 45248 45652 50624 53732 60116 61408 68704 79891 90496 91304 101248 107464 120232 122816 137408 159782 182608 214928 216847 240464 245632 274816 319564 365216 429856 433694 480928 639128 730432 859712 867388 961856 1278256 1460864 1517929 1719424 1734776 1923712 2556512 3035858 3469552 5113024 6071716 6939104 10226048 12143432 13878208 24286864 27756416 48573728 97147456 194294912