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122242505 = 5721167677
BaseRepresentation
bin1110100100101…
…00010111001001
322112000120012012
413102110113021
5222243230010
620044025305
73013021100
oct722242711
9275016165
10122242505
1163003670
1234b32235
131c430858
1412341037
15aaea005
hex74945c9

122242505 has 48 divisors (see below), whose sum is σ = 189210816. Its totient is φ = 74954880.

The previous prime is 122242489. The next prime is 122242531. The reversal of 122242505 is 505242221.

122242505 = 10682 + 10692 + ... + 11652.

It is not a de Polignac number, because 122242505 - 24 = 122242489 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 180227 + ... + 180903.

It is an arithmetic number, because the mean of its divisors is an integer number (3941892).

Almost surely, 2122242505 is an apocalyptic number.

It is an amenable number.

122242505 is a deficient number, since it is larger than the sum of its proper divisors (66968311).

122242505 is a wasteful number, since it uses less digits than its factorization.

122242505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 122242505 is about 11056.3332529370. Note that the first 3 decimals coincide. The cubic root of 122242505 is about 496.2959680530.

Adding to 122242505 its reverse (505242221), we get a palindrome (627484726).

The spelling of 122242505 in words is "one hundred twenty-two million, two hundred forty-two thousand, five hundred five".

Divisors: 1 5 7 11 35 49 55 67 77 245 335 385 469 539 677 737 2345 2695 3283 3385 3685 4739 5159 7447 16415 23695 25795 33173 36113 37235 45359 52129 165865 180565 226795 260645 317513 364903 498949 1587565 1824515 2222591 2494745 3492643 11112955 17463215 24448501 122242505