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164183130 = 23253183709
BaseRepresentation
bin10011100100100…
…11110001011010
3102102221100220200
421302103301122
5314012330010
624143003030
74032351006
oct1162236132
9372840820
10164183130
118474a241
1246b99476
13280267a7
1417b3b706
15e631cc0
hex9c93c5a

164183130 has 96 divisors (see below), whose sum is σ = 446584320. Its totient is φ = 41800320.

The previous prime is 164183119. The next prime is 164183141. The reversal of 164183130 is 31381461.

164183130 is a `hidden beast` number, since 1 + 641 + 8 + 3 + 13 + 0 = 666.

164183130 is digitally balanced in base 2, 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 (164183119) and next prime (164183141).

It is a super-2 number, since 2×1641831302 = 53912200353193800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164183094 and 164183103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231216 + ... + 231924.

It is an arithmetic number, because the mean of its divisors is an integer number (4651920).

Almost surely, 2164183130 is an apocalyptic number.

164183130 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 164183130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223292160).

164183130 is an abundant number, since it is smaller than the sum of its proper divisors (282401190).

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

164183130 is a wasteful number, since it uses less digits than its factorization.

164183130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 164183130 is about 12813.3965052206. The cubic root of 164183130 is about 547.5740313979.

The spelling of 164183130 in words is "one hundred sixty-four million, one hundred eighty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 83 90 93 155 166 186 249 279 310 415 465 498 558 709 747 830 930 1245 1395 1418 1494 2127 2490 2573 2790 3545 3735 4254 5146 6381 7090 7470 7719 10635 12762 12865 15438 21270 21979 23157 25730 31905 38595 43958 46314 58847 63810 65937 77190 109895 115785 117694 131874 176541 197811 219790 231570 294235 329685 353082 395622 529623 588470 659370 882705 989055 1059246 1765410 1824257 1978110 2648115 3648514 5296230 5472771 9121285 10945542 16418313 18242570 27363855 32836626 54727710 82091565 164183130