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228016125 = 3253292241
BaseRepresentation
bin11011001011100…
…11111111111101
3120220001102022200
431211303333331
5431333004000
634343102113
75436051021
oct1545637775
9526042280
10228016125
11107788987
1264441939
13383162ac
14223d6381
1515040500
hexd973ffd

228016125 has 72 divisors (see below), whose sum is σ = 427465896. Its totient is φ = 116928000.

The previous prime is 228016099. The next prime is 228016141. The reversal of 228016125 is 521610822.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 126832644 + 101183481 = 11262^2 + 10059^2 .

It is not a de Polignac number, because 228016125 - 213 = 228007933 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 946005 + ... + 946245.

Almost surely, 2228016125 is an apocalyptic number.

228016125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

228016125 is a deficient number, since it is larger than the sum of its proper divisors (199449771).

228016125 is a wasteful number, since it uses less digits than its factorization.

228016125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 228016125 is about 15100.2028132075. The cubic root of 228016125 is about 610.9258760595.

Adding to 228016125 its reverse (521610822), we get a palindrome (749626947).

The spelling of 228016125 in words is "two hundred twenty-eight million, sixteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 241 261 375 435 723 725 841 1125 1205 1305 2169 2175 2523 3615 3625 4205 6025 6525 6989 7569 10845 10875 12615 18075 20967 21025 30125 32625 34945 37845 54225 62901 63075 90375 104835 105125 174725 189225 202681 271125 314505 315375 524175 608043 873625 946125 1013405 1572525 1824129 2620875 3040215 5067025 7862625 9120645 15201075 25335125 45603225 76005375 228016125