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200028125 = 55112232
BaseRepresentation
bin10111110110000…
…10111111011101
3111221101111000002
423323002333131
5402201400000
631503144045
74646132243
oct1373027735
9457344002
10200028125
11a2a02100
1256ba5025
133259704b
141c7cc793
15128628d5
hexbec2fdd

200028125 has 54 divisors (see below), whose sum is σ = 287282394. Its totient is φ = 139150000.

The previous prime is 200028107. The next prime is 200028133. The reversal of 200028125 is 521820002.

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 3 ways, for example, as 92428996 + 107599129 = 9614^2 + 10373^2 .

It is not a de Polignac number, because 200028125 - 28 = 200027869 is a prime.

It is a super-2 number, since 2×2000281252 = 80022501582031250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200028097 and 200028106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8696864 + ... + 8696886.

Almost surely, 2200028125 is an apocalyptic number.

200028125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

200028125 is a deficient number, since it is larger than the sum of its proper divisors (87254269).

200028125 is an frugal number, since it uses more digits than its factorization.

200028125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 200028125 is about 14143.1299576862. The cubic root of 200028125 is about 584.8309590240.

Multiplying 200028125 by its sum of digits (20), we get a square (4000562500 = 632502).

Multiplying 200028125 by its product of nonzero digits (320), we get a square (64009000000 = 2530002).

Adding to 200028125 its reverse (521820002), we get a palindrome (721848127).

It can be divided in two parts, 2000 and 28125, that multiplied together give a square (56250000 = 75002).

The spelling of 200028125 in words is "two hundred million, twenty-eight thousand, one hundred twenty-five".

Divisors: 1 5 11 23 25 55 115 121 125 253 275 529 575 605 625 1265 1375 2645 2783 2875 3025 3125 5819 6325 6875 13225 13915 14375 15125 29095 31625 34375 64009 66125 69575 71875 75625 145475 158125 320045 330625 347875 378125 727375 790625 1600225 1653125 1739375 3636875 8001125 8696875 18184375 40005625 200028125