Search a number
-
+
193364568 = 23321393
BaseRepresentation
bin10111000011010…
…00001001011000
3111110211221022200
423201220021120
5344000131233
631104250200
74535400045
oct1341501130
9443757280
10193364568
119a170731
1254910960
13310a3007
141b9761cc
1511e98313
hexb868258

193364568 has 48 divisors (see below), whose sum is σ = 527490600. Its totient is φ = 63991152.

The previous prime is 193364557. The next prime is 193364597. The reversal of 193364568 is 865463391.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

193364568 is a `hidden beast` number, since 193 + 3 + 6 + 456 + 8 = 666.

Its product of digits (466560) is a multiple of the sum of its prime divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 1391043 + ... + 1391181.

Almost surely, 2193364568 is an apocalyptic number.

193364568 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 193364568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263745300).

193364568 is an abundant number, since it is smaller than the sum of its proper divisors (334126032).

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

193364568 is an frugal number, since it uses more digits than its factorization.

193364568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 144 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 193364568 is about 13905.5588884446. The cubic root of 193364568 is about 578.2633028084.

The spelling of 193364568 in words is "one hundred ninety-three million, three hundred sixty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 10008 19321 38642 57963 77284 115926 154568 173889 231852 347778 463704 695556 1391112 2685619 5371238 8056857 10742476 16113714 21484952 24170571 32227428 48341142 64454856 96682284 193364568