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164231808 = 27313167197
BaseRepresentation
bin10011100100111…
…11101010000000
3102110000211200120
421302133222000
5314020404213
624144020240
74032642636
oct1162375200
9373024616
10164231808
1184782874
1247001680
13280429b0
1417b51356
15e641423
hex9c9fa80

164231808 has 128 divisors (see below), whose sum is σ = 475009920. Its totient is φ = 49975296.

The previous prime is 164231803. The next prime is 164231813. The reversal of 164231808 is 808132461.

It is an interprime number because it is at equal distance from previous prime (164231803) and next prime (164231813).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (164231803) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 833566 + ... + 833762.

It is an arithmetic number, because the mean of its divisors is an integer number (3711015).

Almost surely, 2164231808 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 164231808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237504960).

164231808 is an abundant number, since it is smaller than the sum of its proper divisors (310778112).

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

164231808 is a wasteful number, since it uses less digits than its factorization.

164231808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 164231808 is about 12815.2958608063. The cubic root of 164231808 is about 547.6281420625.

The spelling of 164231808 in words is "one hundred sixty-four million, two hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 167 192 197 208 312 334 384 394 416 501 591 624 668 788 832 1002 1182 1248 1336 1576 1664 2004 2171 2364 2496 2561 2672 3152 4008 4342 4728 4992 5122 5344 6304 6513 7683 8016 8684 9456 10244 10688 12608 13026 15366 16032 17368 18912 20488 21376 25216 26052 30732 32064 32899 34736 37824 40976 52104 61464 64128 65798 69472 75648 81952 98697 104208 122928 131596 138944 163904 197394 208416 245856 263192 277888 327808 394788 416832 427687 491712 526384 789576 833664 855374 983424 1052768 1283061 1579152 1710748 2105536 2566122 3158304 3421496 4211072 5132244 6316608 6842992 10264488 12633216 13685984 20528976 27371968 41057952 54743936 82115904 164231808