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164226006 = 232719181379
BaseRepresentation
bin10011100100111…
…10001111010110
3102110000112201200
421302132033112
5314020213011
624143533330
74032620010
oct1162361726
9373015650
10164226006
118477947a
1246bba246
1328040169
1417b4d1b0
15e63e856
hex9c9e3d6

164226006 has 96 divisors (see below), whose sum is σ = 431558400. Its totient is φ = 44089920.

The previous prime is 164225993. The next prime is 164226011. The reversal of 164226006 is 600622461.

It is a happy number.

164226006 is a `hidden beast` number, since 16 + 42 + 2 + 600 + 6 = 666.

It is a Curzon number.

It is a congruent number.

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, 433125 + ... + 433503.

It is an arithmetic number, because the mean of its divisors is an integer number (4495400).

Almost surely, 2164226006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164226006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215779200).

164226006 is an abundant number, since it is smaller than the sum of its proper divisors (267332394).

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

164226006 is a wasteful number, since it uses less digits than its factorization.

164226006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164226006 is about 12815.0694886918. The cubic root of 164226006 is about 547.6216930968.

Adding to 164226006 its reverse (600622461), we get a palindrome (764848467).

The spelling of 164226006 in words is "one hundred sixty-four million, two hundred twenty-six thousand, six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 181 266 342 362 379 399 543 758 798 1086 1137 1197 1267 1629 2274 2394 2534 2653 3258 3411 3439 3801 5306 6822 6878 7201 7602 7959 10317 11403 14402 15918 20634 21603 22806 23877 24073 30951 43206 47754 48146 50407 61902 64809 68599 72219 100814 129618 137198 144438 151221 205797 216657 302442 411594 433314 453663 480193 617391 907326 960386 1234782 1303381 1440579 2606762 2881158 3910143 4321737 7820286 8643474 9123667 11730429 18247334 23460858 27371001 54742002 82113003 164226006