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228461226 = 23726112739
BaseRepresentation
bin11011001111000…
…00101010101010
3120220220000212220
431213200222222
5431441224401
634400414510
75442613500
oct1547405252
9526800786
10228461226
11107a62334
1264617436
1338440a76
14224b0670
15150cc336
hexd9e0aaa

228461226 has 48 divisors (see below), whose sum is σ = 540277920. Its totient is φ = 64199520.

The previous prime is 228461221. The next prime is 228461237. The reversal of 228461226 is 622164822.

228461226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228461221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11565 + ... + 24303.

It is an arithmetic number, because the mean of its divisors is an integer number (11255790).

Almost surely, 2228461226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228461226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270138960).

228461226 is an abundant number, since it is smaller than the sum of its proper divisors (311816694).

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

228461226 is a wasteful number, since it uses less digits than its factorization.

228461226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12819 (or 12812 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 228461226 is about 15114.9338734908. The cubic root of 228461226 is about 611.3231388597.

The spelling of 228461226 in words is "two hundred twenty-eight million, four hundred sixty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 366 427 854 1281 2562 2989 5978 8967 12739 17934 25478 38217 76434 89173 178346 267519 535038 624211 777079 1248422 1554158 1872633 2331237 3745266 4662474 5439553 10879106 16318659 32637318 38076871 76153742 114230613 228461226