Search a number
-
+
228731140 = 225112472011
BaseRepresentation
bin11011010001000…
…10100100000100
3120221101202010201
431220202210010
5432023344030
634410300244
75445116431
oct1550424404
9527352121
10228731140
11108127100
1264727684
1338506891
1422540b88
15151322ca
hexda22904

228731140 has 72 divisors (see below), whose sum is σ = 539473536. Its totient is φ = 81364800.

The previous prime is 228731137. The next prime is 228731171. The reversal of 228731140 is 41137822.

228731140 = 21832 + 21842 + ... + 22292.

228731140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 228731099 and 228731108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112735 + ... + 114745.

It is an arithmetic number, because the mean of its divisors is an integer number (7492688).

Almost surely, 2228731140 is an apocalyptic number.

228731140 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 228731140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269736768).

228731140 is an abundant number, since it is smaller than the sum of its proper divisors (310742396).

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

228731140 is a wasteful number, since it uses less digits than its factorization.

228731140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 228731140 is about 15123.8599570348. The cubic root of 228731140 is about 611.5637920010.

Adding to 228731140 its reverse (41137822), we get a palindrome (269868962).

The spelling of 228731140 in words is "two hundred twenty-eight million, seven hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 121 188 220 235 242 470 484 517 605 940 1034 1210 2011 2068 2420 2585 4022 5170 5687 8044 10055 10340 11374 20110 22121 22748 28435 40220 44242 56870 88484 94517 110605 113740 189034 221210 243331 378068 442420 472585 486662 945170 973324 1039687 1216655 1890340 2079374 2433310 4158748 4866620 5198435 10396870 11436557 20793740 22873114 45746228 57182785 114365570 228731140