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122417217 = 33132291523
BaseRepresentation
bin1110100101111…
…11000001000001
322112100102212000
413102333001001
5222314322332
620051454213
73014346336
oct722770101
9275312760
10122417217
116311295a
1234bb7369
131c492230
141238898d
15ab31b7c
hex74bf041

122417217 has 32 divisors (see below), whose sum is σ = 196291200. Its totient is φ = 74955456.

The previous prime is 122417213. The next prime is 122417219. The reversal of 122417217 is 712714221.

It is a happy number.

It is not a de Polignac number, because 122417217 - 22 = 122417213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122417213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79618 + ... + 81140.

It is an arithmetic number, because the mean of its divisors is an integer number (6134100).

Almost surely, 2122417217 is an apocalyptic number.

It is an amenable number.

122417217 is a deficient number, since it is larger than the sum of its proper divisors (73873983).

122417217 is a wasteful number, since it uses less digits than its factorization.

122417217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 122417217 is about 11064.2314238270. The cubic root of 122417217 is about 496.5322949758.

The spelling of 122417217 in words is "one hundred twenty-two million, four hundred seventeen thousand, two hundred seventeen".

Divisors: 1 3 9 13 27 39 117 229 351 687 1523 2061 2977 4569 6183 8931 13707 19799 26793 41121 59397 80379 178191 348767 534573 1046301 3138903 4533971 9416709 13601913 40805739 122417217