Search a number
-
+
189334656 = 2732753443
BaseRepresentation
bin10110100100100…
…00010010000000
3111012021012022200
423102100102000
5341432202111
630442033200
74456214040
oct1322202200
9435235280
10189334656
1197968a25
12534a8800
13302c1954
141b207720
151194e256
hexb490480

189334656 has 192 divisors, whose sum is σ = 635843520. Its totient is φ = 52955136.

The previous prime is 189334631. The next prime is 189334669. The reversal of 189334656 is 656433981.

189334656 is a `hidden beast` number, since 189 + 3 + 3 + 465 + 6 = 666.

189334656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1893346562 = 71695223925276672, which contains 22 as substring.

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, 427171 + ... + 427613.

It is an arithmetic number, because the mean of its divisors is an integer number (3311685).

Almost surely, 2189334656 is an apocalyptic number.

189334656 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 189334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317921760).

189334656 is an abundant number, since it is smaller than the sum of its proper divisors (446508864).

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

189334656 is a wasteful number, since it uses less digits than its factorization.

189334656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

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

The square root of 189334656 is about 13759.8930228400. The cubic root of 189334656 is about 574.2178714583.

The spelling of 189334656 in words is "one hundred eighty-nine million, three hundred thirty-four thousand, six hundred fifty-six".