Search a number
-
+
228603732 = 223767151269
BaseRepresentation
bin11011010000000…
…11011101010100
3120221011021100220
431220003131110
5432010304412
634403434340
75444046120
oct1550033524
9527137326
10228603732
1110804a405
12646859b0
13384908a6
142250a580
151510968c
hexda03754

228603732 has 96 divisors (see below), whose sum is σ = 625121280. Its totient is φ = 63676800.

The previous prime is 228603731. The next prime is 228603737. The reversal of 228603732 is 237306822.

228603732 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 228603693 and 228603702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228603731) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 849694 + ... + 849962.

It is an arithmetic number, because the mean of its divisors is an integer number (6511680).

Almost surely, 2228603732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228603732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640).

228603732 is an abundant number, since it is smaller than the sum of its proper divisors (396517548).

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

228603732 is a wasteful number, since it uses less digits than its factorization.

228603732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 228603732 is about 15119.6472181066. The cubic root of 228603732 is about 611.4502196624.

The spelling of 228603732 in words is "two hundred twenty-eight million, six hundred three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 151 201 268 269 302 402 453 469 538 604 804 807 906 938 1057 1076 1407 1614 1812 1876 1883 2114 2814 3171 3228 3766 4228 5628 5649 6342 7532 10117 11298 12684 18023 20234 22596 30351 36046 40468 40619 54069 60702 70819 72092 81238 108138 121404 121857 126161 141638 162476 212457 216276 243714 252322 283276 284333 378483 424914 487428 504644 568666 756966 849828 852999 1137332 1513932 1705998 2721473 3411996 5442946 8164419 10885892 16328838 19050311 32657676 38100622 57150933 76201244 114301866 228603732