Search a number
-
+
189198612 = 223337113419
BaseRepresentation
bin10110100011011…
…11000100010100
3111012000021201000
423101233010110
5341413323422
630435103300
74455106311
oct1321570424
9435007630
10189198612
1197885799
1253441b30
1330274a55
141b1add08
1511923cac
hexb46f114

189198612 has 96 divisors (see below), whose sum is σ = 509443200. Its totient is φ = 60673536.

The previous prime is 189198589. The next prime is 189198613. The reversal of 189198612 is 216891981.

189198612 is a `hidden beast` number, since 18 + 9 + 19 + 8 + 612 = 666.

It is a super-2 number, since 2×1891986122 = 71592229565453088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189198613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451339 + ... + 451757.

It is an arithmetic number, because the mean of its divisors is an integer number (5306700).

Almost surely, 2189198612 is an apocalyptic number.

189198612 is a gapful number since it is divisible by the number (12) 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 189198612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254721600).

189198612 is an abundant number, since it is smaller than the sum of its proper divisors (320244588).

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

189198612 is a wasteful number, since it uses less digits than its factorization.

189198612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 189198612 is about 13754.9486367634. The cubic root of 189198612 is about 574.0803061975.

The spelling of 189198612 in words is "one hundred eighty-nine million, one hundred ninety-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 113 148 222 226 333 339 419 444 452 666 678 838 999 1017 1257 1332 1356 1676 1998 2034 2514 3051 3771 3996 4068 4181 5028 6102 7542 8362 11313 12204 12543 15084 15503 16724 22626 25086 31006 37629 45252 46509 47347 50172 62012 75258 93018 94694 112887 139527 142041 150516 186036 189388 225774 279054 284082 418581 426123 451548 558108 568164 837162 852246 1278369 1674324 1704492 1751839 2556738 3503678 5113476 5255517 7007356 10511034 15766551 21022068 31533102 47299653 63066204 94599306 189198612