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198232160 = 2557379467
BaseRepresentation
bin10111101000011…
…00100001100000
3111211000020101212
423310030201200
5401221412120
631400445252
74624642220
oct1364144140
9454006355
10198232160
11a1995835
1256479828
13320b8749
141c482080
151260a6c5
hexbd0c860

198232160 has 96 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 67640832.

The previous prime is 198232123. The next prime is 198232169. The reversal of 198232160 is 61232891.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198232169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 424247 + ... + 424713.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2198232160 is an apocalyptic number.

198232160 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 198232160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

198232160 is an abundant number, since it is smaller than the sum of its proper divisors (339556000).

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

198232160 is a wasteful number, since it uses less digits than its factorization.

198232160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 198232160 is about 14079.4943091007. The cubic root of 198232160 is about 583.0753805520.

The spelling of 198232160 in words is "one hundred ninety-eight million, two hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 379 467 560 758 934 1120 1516 1868 1895 2335 2653 3032 3269 3736 3790 4670 5306 6064 6538 7472 7580 9340 10612 12128 13076 13265 14944 15160 16345 18680 21224 26152 26530 30320 32690 37360 42448 52304 53060 60640 65380 74720 84896 104608 106120 130760 176993 212240 261520 353986 424480 523040 707972 884965 1238951 1415944 1769930 2477902 2831888 3539860 4955804 5663776 6194755 7079720 9911608 12389510 14159440 19823216 24779020 28318880 39646432 49558040 99116080 198232160