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228210318 = 2337603731
BaseRepresentation
bin11011001101000…
…11011010001110
3120220102021201000
431212203122032
5431410212233
634351201130
75440520130
oct1546433216
9526367630
10228210318
11107900876
12645161a6
13383837bb
1422447050
151507cd13
hexd9a368e

228210318 has 32 divisors (see below), whose sum is σ = 579582720. Its totient is φ = 65202840.

The previous prime is 228210317. The next prime is 228210319. The reversal of 228210318 is 813012822.

It is an interprime number because it is at equal distance from previous prime (228210317) and next prime (228210319).

It is a super-3 number, since 3×2282103183 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 228210291 and 228210300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228210317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301488 + ... + 302243.

It is an arithmetic number, because the mean of its divisors is an integer number (18111960).

Almost surely, 2228210318 is an apocalyptic number.

228210318 is an abundant number, since it is smaller than the sum of its proper divisors (351372402).

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

228210318 is a wasteful number, since it uses less digits than its factorization.

228210318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603749 (or 603743 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 228210318 is about 15106.6315901329. The cubic root of 228210318 is about 611.0992612603.

The spelling of 228210318 in words is "two hundred twenty-eight million, two hundred ten thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 603731 1207462 1811193 3622386 4226117 5433579 8452234 10867158 12678351 16300737 25356702 32601474 38035053 76070106 114105159 228210318