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164223108 = 22327293097
BaseRepresentation
bin10011100100111…
…01100010000100
3102110000101202100
421302131202010
5314020114413
624143512100
74032605400
oct1162354204
9373011670
10164223108
1184777285
1246bb8630
132803ba4a
1417b4c100
15e63da73
hex9c9d884

164223108 has 54 divisors (see below), whose sum is σ = 482899326. Its totient is φ = 46920384.

The previous prime is 164223091. The next prime is 164223109. The reversal of 164223108 is 801322461.

164223108 is a `hidden beast` number, since 1 + 642 + 2 + 3 + 10 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127644804 + 36578304 = 11298^2 + 6048^2 .

It is not an unprimeable number, because it can be changed into a prime (164223109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44785 + ... + 48312.

Almost surely, 2164223108 is an apocalyptic number.

164223108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164223108 is an abundant number, since it is smaller than the sum of its proper divisors (318676218).

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

164223108 is a wasteful number, since it uses less digits than its factorization.

164223108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93121 (or 93109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164223108 is about 12814.9564181857. The cubic root of 164223108 is about 547.6184718916.

Adding to 164223108 its reverse (801322461), we get a palindrome (965545569).

The spelling of 164223108 in words is "one hundred sixty-four million, two hundred twenty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 93097 186194 279291 372388 558582 651679 837873 1117164 1303358 1675746 1955037 2606716 3351492 3910074 4561753 5865111 7820148 9123506 11730222 13685259 18247012 23460444 27370518 41055777 54741036 82111554 164223108