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212557125 = 353112272
BaseRepresentation
bin11001010101101…
…01110101000101
3112210222000120010
430222311311011
5413403312000
633031500433
75160464034
oct1452656505
9483860503
10212557125
11a9a8a350
125b227719
1335062a61
142033071b
15139d9d50
hexcab5d45

212557125 has 48 divisors (see below), whose sum is σ = 387556416. Its totient is φ = 102604000.

The previous prime is 212557067. The next prime is 212557129. The reversal of 212557125 is 521755212.

212557125 = 14162 + 14172 + ... + 15142.

It is not a de Polignac number, because 212557125 - 26 = 212557061 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212557092 and 212557101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212557129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936262 + ... + 936488.

It is an arithmetic number, because the mean of its divisors is an integer number (8074092).

Almost surely, 2212557125 is an apocalyptic number.

212557125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212557125 is a deficient number, since it is larger than the sum of its proper divisors (174999291).

212557125 is an equidigital number, since it uses as much as digits as its factorization.

212557125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 246 counting only the distinct ones).

The product of its digits is 7000, while the sum is 30.

The square root of 212557125 is about 14579.3389767849. The cubic root of 212557125 is about 596.7950639001.

The spelling of 212557125 in words is "two hundred twelve million, five hundred fifty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 227 275 375 681 825 1135 1375 2497 3405 4125 5675 7491 12485 17025 28375 37455 51529 62425 85125 154587 187275 257645 312125 566819 772935 936375 1288225 1700457 2834095 3864675 6441125 8502285 14170475 19323375 42511425 70852375 212557125