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164351010 = 23547229509
BaseRepresentation
bin10011100101111…
…00110000100010
3102110020220012110
421302330300202
5314033213020
624150340150
74033650315
oct1162746042
9373226173
10164351010
118485438a
124705a656
1328085025
1417b8297c
15e6668e0
hex9cbcc22

164351010 has 64 divisors (see below), whose sum is σ = 405388800. Its totient is φ = 42623232.

The previous prime is 164351009. The next prime is 164351027. The reversal of 164351010 is 10153461.

It is a super-2 number, since 2×1643510102 = 54022508976040200, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 322636 + ... + 323144.

It is an arithmetic number, because the mean of its divisors is an integer number (6334200).

Almost surely, 2164351010 is an apocalyptic number.

164351010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164351010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202694400).

164351010 is an abundant number, since it is smaller than the sum of its proper divisors (241037790).

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

164351010 is a wasteful number, since it uses less digits than its factorization.

164351010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 164351010 is about 12819.9457877169. The cubic root of 164351010 is about 547.7606023608.

The spelling of 164351010 in words is "one hundred sixty-four million, three hundred fifty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 229 235 282 458 470 509 687 705 1018 1145 1374 1410 1527 2290 2545 3054 3435 5090 6870 7635 10763 15270 21526 23923 32289 47846 53815 64578 71769 107630 116561 119615 143538 161445 233122 239230 322890 349683 358845 582805 699366 717690 1165610 1748415 3496830 5478367 10956734 16435101 27391835 32870202 54783670 82175505 164351010