Search a number
-
+
228659004 = 22337302459
BaseRepresentation
bin11011010000100…
…00111100111100
3120221021002012000
431220100330330
5432014042004
634404542300
75444366220
oct1550207474
9527232160
10228659004
11108087992
12646b1990
13384acab2
1422522780
151511ac39
hexda10f3c

228659004 has 48 divisors (see below), whose sum is σ = 677510400. Its totient is φ = 65330928.

The previous prime is 228658999. The next prime is 228659033. The reversal of 228659004 is 400956822.

It is a happy number.

228659004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2286590042 = 104569880220544032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 228659004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150474 + ... + 151985.

It is an arithmetic number, because the mean of its divisors is an integer number (14114800).

Almost surely, 2228659004 is an apocalyptic number.

It is an amenable number.

228659004 is an abundant number, since it is smaller than the sum of its proper divisors (448851396).

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

228659004 is a wasteful number, since it uses less digits than its factorization.

228659004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302479 (or 302471 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 228659004 is about 15121.4749280617. The cubic root of 228659004 is about 611.4994946719.

The spelling of 228659004 in words is "two hundred twenty-eight million, six hundred fifty-nine thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 302459 604918 907377 1209836 1814754 2117213 2722131 3629508 4234426 5444262 6351639 8166393 8468852 10888524 12703278 16332786 19054917 25406556 32665572 38109834 57164751 76219668 114329502 228659004