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122505444 = 22323402929
BaseRepresentation
bin1110100110101…
…00100011100100
322112111220212200
413103110203210
5222330133234
620053414500
73015164505
oct723244344
9275456780
10122505444
1163173176
123503a430
131c4c3439
14123acbac
15ab4cd99
hex74d48e4

122505444 has 18 divisors (see below), whose sum is σ = 309666630. Its totient is φ = 40835136.

The previous prime is 122505443. The next prime is 122505463. The reversal of 122505444 is 444505221.

It can be written as a sum of positive squares in only one way, i.e., 65804544 + 56700900 = 8112^2 + 7530^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (122505443) 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 5 ways as a sum of consecutive naturals, for example, 1701429 + ... + 1701500.

Almost surely, 2122505444 is an apocalyptic number.

It is an amenable number.

122505444 is an abundant number, since it is smaller than the sum of its proper divisors (187161186).

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

122505444 is a wasteful number, since it uses less digits than its factorization.

122505444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402939 (or 3402934 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 122505444 is about 11068.2177427082. The cubic root of 122505444 is about 496.6515511718.

The spelling of 122505444 in words is "one hundred twenty-two million, five hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3402929 6805858 10208787 13611716 20417574 30626361 40835148 61252722 122505444