Search a number
-
+
228703104 = 2732779359
BaseRepresentation
bin11011010000110…
…11101110000000
3120221100022200100
431220123232000
5432021444404
634405522400
75444641620
oct1550335600
9527308610
10228703104
11108108033
1264713400
13384c6ba6
1422534880
1515128d39
hexda1bb80

228703104 has 192 divisors, whose sum is σ = 763776000. Its totient is φ = 64336896.

The previous prime is 228703067. The next prime is 228703117. The reversal of 228703104 is 401307822.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 636877 + ... + 637235.

It is an arithmetic number, because the mean of its divisors is an integer number (3978000).

Almost surely, 2228703104 is an apocalyptic number.

228703104 is a gapful number since it is divisible by the number (24) 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 228703104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381888000).

228703104 is an abundant number, since it is smaller than the sum of its proper divisors (535072896).

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

228703104 is a wasteful number, since it uses less digits than its factorization.

228703104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 228703104 is about 15122.9330488500. The cubic root of 228703104 is about 611.5388041440.

The spelling of 228703104 in words is "two hundred twenty-eight million, seven hundred three thousand, one hundred four".