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122164 = 2274363
BaseRepresentation
bin11101110100110100
320012120121
4131310310
512402124
62341324
71016110
oct356464
9205517
10122164
1183869
125a844
13437b3
1432740
15262e4
hex1dd34

122164 has 12 divisors (see below), whose sum is σ = 244384. Its totient is φ = 52344.

The previous prime is 122149. The next prime is 122167. The reversal of 122164 is 461221.

122164 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122167) by changing a digit.

122164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2154 + ... + 2209.

2122164 is an apocalyptic number.

122164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

122164 is a wasteful number, since it uses less digits than its factorization.

122164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4372 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 122164 is about 349.5196704050. The cubic root of 122164 is about 49.6189703710.

Adding to 122164 its reverse (461221), we get a palindrome (583385).

The spelling of 122164 in words is "one hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 4363 8726 17452 30541 61082 122164