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228165444 = 223313163997
BaseRepresentation
bin11011001100110…
…00011101000100
3120220100000011000
431212120131010
5431402243234
634350213300
75440242243
oct1546303504
9526300130
10228165444
11107880091
12644b4230
1338369250
142243495a
151506e899
hexd998744

228165444 has 96 divisors (see below), whose sum is σ = 641594240. Its totient is φ = 69704064.

The previous prime is 228165407. The next prime is 228165463. The reversal of 228165444 is 444561822.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 228165399 and 228165408.

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 31 ways as a sum of consecutive naturals, for example, 228354 + ... + 229350.

Almost surely, 2228165444 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 228165444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320797120).

228165444 is an abundant number, since it is smaller than the sum of its proper divisors (413428796).

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

228165444 is a wasteful number, since it uses less digits than its factorization.

228165444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 228165444 is about 15105.1462753593. The cubic root of 228165444 is about 611.0592042548.

The spelling of 228165444 in words is "two hundred twenty-eight million, one hundred sixty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 163 234 326 351 468 489 652 702 978 997 1404 1467 1956 1994 2119 2934 2991 3988 4238 4401 5868 5982 6357 8476 8802 8973 11964 12714 12961 17604 17946 19071 25428 25922 26919 35892 38142 38883 51844 53838 57213 76284 77766 107676 114426 116649 155532 162511 228852 233298 325022 349947 466596 487533 650044 699894 975066 1399788 1462599 1950132 2112643 2925198 4225286 4387797 5850396 6337929 8450572 8775594 12675858 17551188 19013787 25351716 38027574 57041361 76055148 114082722 228165444