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189224432460 = 223257413662881
BaseRepresentation
bin1011000000111010100…
…1111011001101001100
3200002102101011010201100
42300032221323031030
511100012423314320
6222532320143100
716446105065130
oct2601651731514
9602371133640
10189224432460
1173282293888
123080aa67a90
1314ac7a548cb
149230d533c0
154dc7468790
hex2c0ea7b34c

189224432460 has 144 divisors (see below), whose sum is σ = 671977680192. Its totient is φ = 42196377600.

The previous prime is 189224432429. The next prime is 189224432513. The reversal of 189224432460 is 64234422981.

189224432460 is a `hidden beast` number, since 1 + 89 + 2 + 244 + 324 + 6 + 0 = 666.

189224432460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1779781 + ... + 1883100.

It is an arithmetic number, because the mean of its divisors is an integer number (4666511668).

Almost surely, 2189224432460 is an apocalyptic number.

189224432460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189224432460 is an abundant number, since it is smaller than the sum of its proper divisors (482753247732).

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

189224432460 is a wasteful number, since it uses less digits than its factorization.

189224432460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662944 (or 3662939 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 189224432460 in words is "one hundred eighty-nine billion, two hundred twenty-four million, four hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3444 3690 4305 5166 5740 7380 8610 10332 12915 17220 25830 51660 3662881 7325762 10988643 14651524 18314405 21977286 25640167 32965929 36628810 43954572 51280334 54943215 65931858 73257620 76920501 102560668 109886430 128200835 131863716 150178121 153841002 164829645 219772860 230761503 256401670 300356242 307682004 329659290 384602505 450534363 461523006 512803340 600712484 659318580 750890605 769205010 901068726 923046012 1051246847 1153807515 1351603089 1501781210 1538410020 1802137452 2102493694 2252671815 2307615030 2703206178 3003562420 3153740541 4204987388 4505343630 4615230060 5256234235 5406412356 6307481082 6758015445 9010687260 9461221623 10512468470 12614962164 13516030890 15768702705 18922443246 21024936940 27032061780 31537405410 37844886492 47306108115 63074810820 94612216230 189224432460