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228213846 = 23279371933
BaseRepresentation
bin11011001101001…
…00010001010110
3120220102110112200
431212210101112
5431410320341
634351225330
75440533330
oct1546442126
9526373480
10228213846
11107903493
1264518246
13383852a3
1422448450
151507ddb6
hexd9a4456

228213846 has 48 divisors (see below), whose sum is σ = 565996704. Its totient is φ = 65100672.

The previous prime is 228213781. The next prime is 228213851. The reversal of 228213846 is 648312822.

228213846 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2282138462 = 104163119012223432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228213846.

It is a congruent number.

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, 117096 + ... + 119028.

It is an arithmetic number, because the mean of its divisors is an integer number (11791598).

Almost surely, 2228213846 is an apocalyptic number.

228213846 is an abundant number, since it is smaller than the sum of its proper divisors (337782858).

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

228213846 is a wasteful number, since it uses less digits than its factorization.

228213846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2882 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 228213846 is about 15106.7483595908. The cubic root of 228213846 is about 611.1024103249.

The spelling of 228213846 in words is "two hundred twenty-eight million, two hundred thirteen thousand, eight hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 937 1874 1933 2811 3866 5622 5799 6559 8433 11598 13118 13531 16866 17397 19677 27062 34794 39354 40593 59031 81186 118062 121779 243558 1811221 3622442 5433663 10867326 12678547 16300989 25357094 32601978 38035641 76071282 114106923 228213846