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194301056 = 2723312129
BaseRepresentation
bin10111001010011…
…00110010000000
3111112121111221102
423211030302000
5344220113211
631140313532
74546350245
oct1345146200
9445544842
10194301056
119a750294
12550a28a8
1331340351
141bb3b5cc
15120d0a3b
hexb94cc80

194301056 has 64 divisors (see below), whose sum is σ = 417139200. Its totient is φ = 89886720.

The previous prime is 194301017. The next prime is 194301059. The reversal of 194301056 is 650103491.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (194301059) 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 7 ways as a sum of consecutive naturals, for example, 90200 + ... + 92328.

It is an arithmetic number, because the mean of its divisors is an integer number (6517800).

Almost surely, 2194301056 is an apocalyptic number.

194301056 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 194301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208569600).

194301056 is an abundant number, since it is smaller than the sum of its proper divisors (222838144).

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

194301056 is a wasteful number, since it uses less digits than its factorization.

194301056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 194301056 is about 13939.1913682251. The cubic root of 194301056 is about 579.1953328277.

The spelling of 194301056 in words is "one hundred ninety-four million, three hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 368 496 713 736 992 1426 1472 1984 2129 2852 2944 3968 4258 5704 8516 11408 17032 22816 34064 45632 48967 65999 68128 91264 97934 131998 136256 195868 263996 272512 391736 527992 783472 1055984 1517977 1566944 2111968 3035954 3133888 4223936 6071908 6267776 8447872 12143816 24287632 48575264 97150528 194301056