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122855056 = 241721632
BaseRepresentation
bin1110101001010…
…01111010010000
322120011200110021
413110221322100
5222422330211
620105113224
73021152002
oct724517220
9276150407
10122855056
1163391905
1235188814
131c5b65cc
1412460372
15abbb771
hex7529e90

122855056 has 45 divisors (see below), whose sum is σ = 254417961. Its totient is φ = 57459456.

The previous prime is 122855041. The next prime is 122855081. The reversal of 122855056 is 650558221.

The square root of 122855056 is 11084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 95648400 + 27206656 = 9780^2 + 5216^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 8 ways as a sum of consecutive naturals, for example, 753631 + ... + 753793.

Almost surely, 2122855056 is an apocalyptic number.

122855056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122855056 is the 11084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122855056

122855056 is an abundant number, since it is smaller than the sum of its proper divisors (131562905).

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

122855056 is an equidigital number, since it uses as much as digits as its factorization.

122855056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The cubic root of 122855056 is about 497.1235585686.

The spelling of 122855056 in words is "one hundred twenty-two million, eight hundred fifty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 163 272 289 326 578 652 1156 1304 2312 2608 2771 4624 5542 11084 22168 26569 44336 47107 53138 94214 106276 188428 212552 376856 425104 451673 753712 903346 1806692 3613384 7226768 7678441 15356882 30713764 61427528 122855056