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189661230 = 233511193361
BaseRepresentation
bin10110100111000…
…00000000101110
3111012212210022000
423103200000232
5342023124410
630453033130
74462044123
oct1323400056
9435783260
10189661230
1198071320
12536257a6
13303a74a5
141b29074a
15119b5dc0
hexb4e002e

189661230 has 128 divisors (see below), whose sum is σ = 580953600. Its totient is φ = 43545600.

The previous prime is 189661207. The next prime is 189661273. The reversal of 189661230 is 32166981.

189661230 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 612 + 30 = 666.

189661230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1896612302 = 71942764330225800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 54750 + ... + 58110.

It is an arithmetic number, because the mean of its divisors is an integer number (4538700).

Almost surely, 2189661230 is an apocalyptic number.

189661230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189661230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290476800).

189661230 is an abundant number, since it is smaller than the sum of its proper divisors (391292370).

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

189661230 is a wasteful number, since it uses less digits than its factorization.

189661230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 189661230 is about 13771.7547901493. The cubic root of 189661230 is about 574.5478285072.

The spelling of 189661230 in words is "one hundred eighty-nine million, six hundred sixty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 54 55 57 66 90 95 99 110 114 135 165 171 190 198 209 270 285 297 330 342 418 495 513 570 594 627 855 990 1026 1045 1254 1485 1710 1881 2090 2565 2970 3135 3361 3762 5130 5643 6270 6722 9405 10083 11286 16805 18810 20166 28215 30249 33610 36971 50415 56430 60498 63859 73942 90747 100830 110913 127718 151245 181494 184855 191577 221826 302490 319295 332739 369710 383154 453735 554565 574731 638590 665478 702449 907470 957885 998217 1109130 1149462 1404898 1663695 1724193 1915770 1996434 2107347 2873655 3327390 3448386 3512245 4214694 4991085 5747310 6322041 7024490 8620965 9982170 10536735 12644082 17241930 18966123 21073470 31610205 37932246 63220410 94830615 189661230