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189856224 = 253489823
BaseRepresentation
bin10110101000011…
…11100111100000
3111020020200210000
423110033213200
5342100344344
630501140000
74463515455
oct1324174740
9436220700
10189856224
1198194878
12536ba600
133044517c
141b30182c
1511a03a69
hexb50f9e0

189856224 has 120 divisors (see below), whose sum is σ = 565321680. Its totient is φ = 62498304.

The previous prime is 189856207. The next prime is 189856253. The reversal of 189856224 is 422658981.

189856224 is a `hidden beast` number, since 1 + 89 + 8 + 562 + 2 + 4 = 666.

189856224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 189856224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230277 + ... + 231099.

It is an arithmetic number, because the mean of its divisors is an integer number (4711014).

Almost surely, 2189856224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189856224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282660840).

189856224 is an abundant number, since it is smaller than the sum of its proper divisors (375465456).

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

189856224 is an equidigital number, since it uses as much as digits as its factorization.

189856224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 917 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 189856224 is about 13778.8324614243. The cubic root of 189856224 is about 574.7446619291.

The spelling of 189856224 in words is "one hundred eighty-nine million, eight hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 89 96 108 144 162 178 216 267 288 324 356 432 534 648 712 801 823 864 1068 1296 1424 1602 1646 2136 2403 2469 2592 2848 3204 3292 4272 4806 4938 6408 6584 7209 7407 8544 9612 9876 12816 13168 14418 14814 19224 19752 22221 25632 26336 28836 29628 38448 39504 44442 57672 59256 66663 73247 76896 79008 88884 115344 118512 133326 146494 177768 219741 230688 237024 266652 292988 355536 439482 533304 585976 659223 711072 878964 1066608 1171952 1318446 1757928 1977669 2133216 2343904 2636892 3515856 3955338 5273784 5933007 7031712 7910676 10547568 11866014 15821352 21095136 23732028 31642704 47464056 63285408 94928112 189856224