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122555168 = 251921032
BaseRepresentation
bin1110100111000…
…00101100100000
322112121110002022
413103200230200
5222333231133
620054441012
73015462461
oct723405440
9275543068
10122555168
11631a756a
1235063168
131c50cc68
14123c2d68
15ab5c998
hex74e0b20

122555168 has 54 divisors (see below), whose sum is σ = 257144139. Its totient is φ = 57488832.

The previous prime is 122555141. The next prime is 122555171. The reversal of 122555168 is 861555221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 61277584 + 61277584 = 7828^2 + 7828^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7828.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1189805 + ... + 1189907.

Almost surely, 2122555168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122555168

122555168 is an abundant number, since it is smaller than the sum of its proper divisors (134588971).

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

122555168 is an equidigital number, since it uses as much as digits as its factorization.

122555168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 124 counting only the distinct ones).

The product of its digits is 24000, while the sum is 35.

The square root of 122555168 is about 11070.4637662566. The cubic root of 122555168 is about 496.7187377404.

The spelling of 122555168 in words is "one hundred twenty-two million, five hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 103 152 206 304 361 412 608 722 824 1444 1648 1957 2888 3296 3914 5776 7828 10609 11552 15656 21218 31312 37183 42436 62624 74366 84872 148732 169744 201571 297464 339488 403142 594928 806284 1189856 1612568 3225136 3829849 6450272 7659698 15319396 30638792 61277584 122555168