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228852224 = 292915413
BaseRepresentation
bin11011010010000…
…00001000000000
3120221121220020022
431221000020000
5432041232344
634413033012
75446132436
oct1551001000
9527556208
10228852224
111081aa077
1264785768
1338549a23
1422572d56
15151580ee
hexda40200

228852224 has 40 divisors (see below), whose sum is σ = 473055660. Its totient is φ = 110473216.

The previous prime is 228852187. The next prime is 228852227. The reversal of 228852224 is 422258822.

It can be written as a sum of positive squares in 2 ways, for example, as 218093824 + 10758400 = 14768^2 + 3280^2 .

It is not an unprimeable number, because it can be changed into a prime (228852227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7142 + ... + 22554.

Almost surely, 2228852224 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 228852224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236527830).

228852224 is an abundant number, since it is smaller than the sum of its proper divisors (244203436).

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

228852224 is an equidigital number, since it uses as much as digits as its factorization.

228852224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15460 (or 15444 counting only the distinct ones).

The product of its digits is 40960, while the sum is 35.

The square root of 228852224 is about 15127.8625059854. The cubic root of 228852224 is about 611.6716880039.

The spelling of 228852224 in words is "two hundred twenty-eight million, eight hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 7424 14848 15413 30826 61652 123304 246608 446977 493216 893954 986432 1787908 1972864 3575816 3945728 7151632 7891456 14303264 28606528 57213056 114426112 228852224