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228166344 = 2332739239
BaseRepresentation
bin11011001100110…
…00101011001000
3120220100001101100
431212120223020
5431402310334
634350221400
75440245000
oct1546305310
9526301340
10228166344
1110788082a
12644b4860
1338369793
1422435000
151506ec99
hexd998ac8

228166344 has 96 divisors (see below), whose sum is σ = 720720000. Its totient is φ = 65183328.

The previous prime is 228166339. The next prime is 228166357. The reversal of 228166344 is 443661822.

228166344 is a `hidden beast` number, since 2 + 2 + 8 + 16 + 634 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 228166299 and 228166308.

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, 20077 + ... + 29315.

It is an arithmetic number, because the mean of its divisors is an integer number (7507500).

Almost surely, 2228166344 is an apocalyptic number.

228166344 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 228166344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360360000).

228166344 is an abundant number, since it is smaller than the sum of its proper divisors (492553656).

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

228166344 is a wasteful number, since it uses less digits than its factorization.

228166344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272 (or 9251 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 228166344 is about 15105.1760665012. The cubic root of 228166344 is about 611.0600076960.

The spelling of 228166344 in words is "two hundred twenty-eight million, one hundred sixty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2744 3087 3528 4116 6174 8232 9239 12348 18478 24696 27717 36956 55434 64673 73912 83151 110868 129346 166302 194019 221736 258692 332604 388038 452711 517384 582057 665208 776076 905422 1164114 1358133 1552152 1810844 2328228 2716266 3168977 3621688 4074399 4656456 5432532 6337954 8148798 9506931 10865064 12675908 16297596 19013862 25351816 28520793 32595192 38027724 57041586 76055448 114083172 228166344