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228834304 = 210435197
BaseRepresentation
bin11011010001110…
…11110000000000
3120221120222122121
431220323300000
5432040144204
634412414024
75446026256
oct1550736000
9527528577
10228834304
11108197666
1264777314
133854181a
142256a5d6
1515152b54
hexda3bc00

228834304 has 44 divisors (see below), whose sum is σ = 468173464. Its totient is φ = 111734784.

The previous prime is 228834301. The next prime is 228834311. The reversal of 228834304 is 403438822.

It is a self number, because there is not a number n which added to its sum of digits gives 228834304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228834301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41434 + ... + 46630.

It is an arithmetic number, because the mean of its divisors is an integer number (10640306).

Almost surely, 2228834304 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 228834304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234086732).

228834304 is an abundant number, since it is smaller than the sum of its proper divisors (239339160).

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

228834304 is an equidigital number, since it uses as much as digits as its factorization.

228834304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 228834304 is about 15127.2702097900. The cubic root of 228834304 is about 611.6557221802.

The spelling of 228834304 in words is "two hundred twenty-eight million, eight hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 2752 5197 5504 10394 11008 20788 22016 41576 44032 83152 166304 223471 332608 446942 665216 893884 1330432 1787768 2660864 3575536 5321728 7151072 14302144 28604288 57208576 114417152 228834304