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228875540 = 225291732281
BaseRepresentation
bin11011010010001…
…01110100010100
3120221200002012212
431221011310110
5432043004130
634413332552
75446260425
oct1551056424
9527602185
10228875540
11108215643
1264797158
133855751a
142257b64c
151515ee95
hexda45d14

228875540 has 48 divisors (see below), whose sum is σ = 500305680. Its totient is φ = 87843840.

The previous prime is 228875527. The next prime is 228875567. The reversal of 228875540 is 45578822.

It can be written as a sum of positive squares in 8 ways, for example, as 12138256 + 216737284 = 3484^2 + 14722^2 .

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 99200 + ... + 101480.

It is an arithmetic number, because the mean of its divisors is an integer number (10423035).

Almost surely, 2228875540 is an apocalyptic number.

228875540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228875540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250152840).

228875540 is an abundant number, since it is smaller than the sum of its proper divisors (271430140).

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

228875540 is a wasteful number, since it uses less digits than its factorization.

228875540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 41.

The square root of 228875540 is about 15128.6331173705. The cubic root of 228875540 is about 611.6924601460.

The spelling of 228875540 in words is "two hundred twenty-eight million, eight hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 173 290 346 580 692 865 1730 2281 3460 4562 5017 9124 10034 11405 20068 22810 25085 45620 50170 66149 100340 132298 264596 330745 394613 661490 789226 1322980 1578452 1973065 3946130 7892260 11443777 22887554 45775108 57218885 114437770 228875540