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164152254 = 237331283
BaseRepresentation
bin10011100100011…
…00001110111110
3102102212210120010
421302030032332
5314010333004
624142204050
74032162000
oct1162141676
9372783503
10164152254
1184729022
1246b83626
1328015716
1417b30370
15e627a89
hex9c8c3be

164152254 has 96 divisors (see below), whose sum is σ = 400377600. Its totient is φ = 44840880.

The previous prime is 164152249. The next prime is 164152259. The reversal of 164152254 is 452251461.

164152254 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164152249) and next prime (164152259).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164152259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1977697 + ... + 1977779.

It is an arithmetic number, because the mean of its divisors is an integer number (4170600).

Almost surely, 2164152254 is an apocalyptic number.

164152254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164152254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200188800).

164152254 is an abundant number, since it is smaller than the sum of its proper divisors (236225346).

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

164152254 is an equidigital number, since it uses as much as digits as its factorization.

164152254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 126 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 164152254 is about 12812.1916158009. The cubic root of 164152254 is about 547.5397039658.

The spelling of 164152254 in words is "one hundred sixty-four million, one hundred fifty-two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 83 93 98 147 166 186 217 249 294 343 434 498 581 651 686 961 1029 1162 1302 1519 1743 1922 2058 2573 2883 3038 3486 4067 4557 5146 5766 6727 7719 8134 9114 10633 12201 13454 15438 18011 20181 21266 24402 28469 31899 36022 40362 47089 54033 56938 63798 79763 85407 94178 108066 126077 141267 159526 170814 239289 252154 282534 329623 378231 478578 558341 659246 756462 882539 988869 1116682 1675023 1765078 1977738 2647617 3350046 3908387 5295234 7816774 11725161 23450322 27358709 54717418 82076127 164152254