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122264 = 23172931
BaseRepresentation
bin11101110110011000
320012201022
4131312120
512403024
62342012
71016312
oct356630
9205638
10122264
118394a
125a908
134385c
14327b2
152635e
hex1dd98

122264 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 53760.

The previous prime is 122263. The next prime is 122267. The reversal of 122264 is 462221.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122263) 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, 3929 + ... + 3959.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2122264 is an apocalyptic number.

It is an amenable number.

122264 is an abundant number, since it is smaller than the sum of its proper divisors (136936).

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

122264 is a wasteful number, since it uses less digits than its factorization.

122264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 122264 is about 349.6626946072. The cubic root of 122264 is about 49.6325055744.

Adding to 122264 its reverse (462221), we get a palindrome (584485).

The spelling of 122264 in words is "one hundred twenty-two thousand, two hundred sixty-four".