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189235800 = 233252138087
BaseRepresentation
bin10110100011110…
…00001001011000
3111012002011201100
423101320021120
5341421021200
630435551400
74455322605
oct1321701130
9435064640
10189235800
1197900726
125345b560
1330288960
141b1bd6ac
151192ed00
hexb478258

189235800 has 144 divisors (see below), whose sum is σ = 684487440. Its totient is φ = 46575360.

The previous prime is 189235799. The next prime is 189235807. The reversal of 189235800 is 8532981.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189235807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19357 + ... + 27443.

It is an arithmetic number, because the mean of its divisors is an integer number (4753385).

Almost surely, 2189235800 is an apocalyptic number.

189235800 is a gapful number since it is divisible by the number (10) 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 189235800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342243720).

189235800 is an abundant number, since it is smaller than the sum of its proper divisors (495251640).

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

189235800 is a wasteful number, since it uses less digits than its factorization.

189235800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 189235800 is about 13756.3003747374. The cubic root of 189235800 is about 574.1179165859.

The spelling of 189235800 in words is "one hundred eighty-nine million, two hundred thirty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 8087 11700 16174 23400 24261 32348 40435 48522 64696 72783 80870 97044 105131 121305 145566 161740 194088 202175 210262 242610 291132 315393 323480 363915 404350 420524 485220 525655 582264 606525 630786 727830 808700 841048 946179 970440 1051310 1213050 1261572 1455660 1576965 1617400 1819575 1892358 2102620 2426100 2523144 2628275 2911320 3153930 3639150 3784716 4205240 4730895 4852200 5256550 6307860 7278300 7569432 7884825 9461790 10513100 12615720 14556600 15769650 18923580 21026200 23654475 31539300 37847160 47308950 63078600 94617900 189235800