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189223776 = 2534710429
BaseRepresentation
bin10110100011101…
…01001101100000
3111012001120020000
423101311031200
5341420130101
630435420000
74455242550
oct1321651540
9435046200
10189223776
11978a2695
1253454600
1330283341
141b1b9160
151192b486
hexb475360

189223776 has 120 divisors (see below), whose sum is σ = 636063120. Its totient is φ = 54058752.

The previous prime is 189223747. The next prime is 189223781. The reversal of 189223776 is 677322981.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 12930 + ... + 23358.

It is an arithmetic number, because the mean of its divisors is an integer number (5300526).

Almost surely, 2189223776 is an apocalyptic number.

189223776 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 189223776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318031560).

189223776 is an abundant number, since it is smaller than the sum of its proper divisors (446839344).

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

189223776 is a wasteful number, since it uses less digits than its factorization.

189223776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10458 (or 10441 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 189223776 is about 13755.8633316851. The cubic root of 189223776 is about 574.1057565540.

The spelling of 189223776 in words is "one hundred eighty-nine million, two hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 10429 18144 20858 31287 41716 62574 73003 83432 93861 125148 146006 166864 187722 219009 250296 281583 292012 333728 375444 438018 500592 563166 584024 657027 750888 844749 876036 1001184 1126332 1168048 1314054 1501776 1689498 1752072 1971081 2252664 2336096 2628108 3003552 3378996 3504144 3942162 4505328 5256216 5913243 6757992 7008288 7884324 9010656 10512432 11826486 13515984 15768648 21024864 23652972 27031968 31537296 47305944 63074592 94611888 189223776