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228894408 = 233217832
BaseRepresentation
bin11011010010010…
…10011011001000
3120221201001002200
431221022123020
5432044110113
634414000200
75446366431
oct1551123310
9527631080
10228894408
11108228836
12647a6060
1338562ca2
1422584488
1515165873
hexda4a6c8

228894408 has 36 divisors (see below), whose sum is σ = 620270235. Its totient is φ = 76255344.

The previous prime is 228894403. The next prime is 228894427. The reversal of 228894408 is 804498822.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 114447204 + 114447204 = 10698^2 + 10698^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10698.

It is not an unprimeable number, because it can be changed into a prime (228894403) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 127485 + ... + 129267.

Almost surely, 2228894408 is an apocalyptic number.

It is an amenable number.

228894408 is an abundant number, since it is smaller than the sum of its proper divisors (391375827).

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

228894408 is an equidigital number, since it uses as much as digits as its factorization.

228894408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 228894408 is about 15129.2566902674. The cubic root of 228894408 is about 611.7092685480.

Multiplying 228894408 by its product of nonzero digits (294912), we get a square (67503707652096 = 82160642).

The spelling of 228894408 in words is "two hundred twenty-eight million, eight hundred ninety-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1783 3566 5349 7132 10698 14264 16047 21396 32094 42792 64188 128376 3179089 6358178 9537267 12716356 19074534 25432712 28611801 38149068 57223602 76298136 114447204 228894408