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122265 = 325111319
BaseRepresentation
bin11101110110011001
320012201100
4131312121
512403030
62342013
71016313
oct356631
9205640
10122265
1183950
125a909
1343860
14327b3
1526360
hex1dd99

122265 has 48 divisors (see below), whose sum is σ = 262080. Its totient is φ = 51840.

The previous prime is 122263. The next prime is 122267. The reversal of 122265 is 562221.

Adding to 122265 its reverse (562221), we get a palindrome (684486).

122265 is a nontrivial binomial coefficient, being equal to C(495, 2).

It is an interprime number because it is at equal distance from previous prime (122263) and next prime (122267).

It is not a de Polignac number, because 122265 - 21 = 122263 is a prime.

Together with 139815 it forms an amicable pair .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6426 + ... + 6444.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2122265 is an apocalyptic number.

122265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122265 is the 494-th triangular number.

It is an amenable number.

122265 is an abundant number, since it is smaller than the sum of its proper divisors (139815).

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

122265 is a wasteful number, since it uses less digits than its factorization.

122265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 51 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 122265 is about 349.6641245538. The cubic root of 122265 is about 49.6326408892.

The spelling of 122265 in words is "one hundred twenty-two thousand, two hundred sixty-five".

Divisors: 1 3 5 9 11 13 15 19 33 39 45 55 57 65 95 99 117 143 165 171 195 209 247 285 429 495 585 627 715 741 855 1045 1235 1287 1881 2145 2223 2717 3135 3705 6435 8151 9405 11115 13585 24453 40755 122265