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102210164 = 2277195077
BaseRepresentation
bin1100001011110…
…01101001110100
321010022210222122
412011321221310
5202131211124
614050415112
72350525550
oct605715164
9233283878
10102210164
1152771011
122a291498
13182387b4
14d808860
158e8e75e
hex6179a74

102210164 has 24 divisors (see below), whose sum is σ = 204744960. Its totient is φ = 43734816.

The previous prime is 102210151. The next prime is 102210167. The reversal of 102210164 is 461012201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17594 + ... + 22670.

It is an arithmetic number, because the mean of its divisors is an integer number (8531040).

Almost surely, 2102210164 is an apocalyptic number.

102210164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102210164 is an abundant number, since it is smaller than the sum of its proper divisors (102534796).

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

102210164 is a wasteful number, since it uses less digits than its factorization.

102210164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 102210164 is about 10109.9042527612. The cubic root of 102210164 is about 467.5535531129.

Adding to 102210164 its reverse (461012201), we get a palindrome (563222365).

The spelling of 102210164 in words is "one hundred two million, two hundred ten thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 719 1438 2876 5033 5077 10066 10154 20132 20308 35539 71078 142156 3650363 7300726 14601452 25552541 51105082 102210164