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215314125 = 35313291523
BaseRepresentation
bin11001101010101…
…10111011001101
3120000011002110020
430311112323031
5420110023000
633210532353
75223065655
oct1465267315
9500132406
10215314125
111005a2764
12601370b9
13357b9910
142084b365
1513d81ba0
hexcd56ecd

215314125 has 64 divisors (see below), whose sum is σ = 399409920. Its totient is φ = 102278400.

The previous prime is 215314093. The next prime is 215314133. The reversal of 215314125 is 521413512.

It is a happy number.

It is not a de Polignac number, because 215314125 - 25 = 215314093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 215314095 and 215314104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140614 + ... + 142136.

It is an arithmetic number, because the mean of its divisors is an integer number (6240780).

Almost surely, 2215314125 is an apocalyptic number.

215314125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

215314125 is a deficient number, since it is larger than the sum of its proper divisors (184095795).

215314125 is a wasteful number, since it uses less digits than its factorization.

215314125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1573 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 215314125 is about 14673.5859625383. The cubic root of 215314125 is about 599.3642571786.

Adding to 215314125 its reverse (521413512), we get a palindrome (736727637).

The spelling of 215314125 in words is "two hundred fifteen million, three hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 29 39 65 75 87 125 145 195 325 375 377 435 725 975 1131 1523 1625 1885 2175 3625 4569 4875 5655 7615 9425 10875 19799 22845 28275 38075 44167 47125 59397 98995 114225 132501 141375 190375 220835 296985 494975 571125 574171 662505 1104175 1484925 1722513 2474875 2870855 3312525 5520875 7424625 8612565 14354275 16562625 43062825 71771375 215314125