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164223213 = 371117193171
BaseRepresentation
bin10011100100111…
…01100011101101
3102110000101220020
421302131203231
5314020120323
624143512353
74032605610
oct1162354355
9373011806
10164223213
1184777370
1246bb86b9
132803bacb
1417b4c177
15e63dae3
hex9c9d8ed

164223213 has 128 divisors (see below), whose sum is σ = 318504960. Its totient is φ = 72576000.

The previous prime is 164223193. The next prime is 164223253. The reversal of 164223213 is 312322461.

It is not a de Polignac number, because 164223213 - 213 = 164215021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164223253) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2312968 + ... + 2313038.

It is an arithmetic number, because the mean of its divisors is an integer number (2488320).

Almost surely, 2164223213 is an apocalyptic number.

It is an amenable number.

164223213 is a deficient number, since it is larger than the sum of its proper divisors (154281747).

164223213 is a wasteful number, since it uses less digits than its factorization.

164223213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159.

The product of its digits is 1728, while the sum is 24.

The square root of 164223213 is about 12814.9605149606. The cubic root of 164223213 is about 547.6185886026.

Adding to 164223213 its reverse (312322461), we get a palindrome (476545674).

The spelling of 164223213 in words is "one hundred sixty-four million, two hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 7 11 17 19 21 31 33 51 57 71 77 93 119 133 187 209 213 217 231 323 341 357 399 497 527 561 589 627 651 781 969 1023 1207 1309 1349 1463 1491 1581 1767 2201 2261 2343 2387 3553 3621 3689 3927 4047 4123 4389 5467 5797 6479 6603 6783 7161 8449 9443 10013 10659 11067 12369 13277 14839 15407 16401 17391 19437 22933 24211 24871 25347 28329 30039 37417 39831 40579 41819 44517 45353 46221 68799 70091 72633 74613 92939 103873 110143 112251 121737 125457 136059 160531 169477 210273 252263 261919 278817 292733 311619 330429 411587 460009 481593 508431 710923 756789 771001 785757 878199 1234761 1380027 1765841 2132769 2313003 2881109 3220063 4976461 5297523 7820153 8643327 9660189 14929383 23460459 54741071 164223213