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228862144 = 26721923167
BaseRepresentation
bin11011010010000…
…10100011000000
3120221122101211201
431221002203000
5432042042034
634413150544
75446203400
oct1551024300
9527571751
10228862144
11108206575
126478b454
13385513b4
1422576800
151515b014
hexda428c0

228862144 has 168 divisors, whose sum is σ = 583752960. Its totient is φ = 88349184.

The previous prime is 228862111. The next prime is 228862159. The reversal of 228862144 is 441268822.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1370349 + ... + 1370515.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2228862144 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 228862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480).

228862144 is an abundant number, since it is smaller than the sum of its proper divisors (354890816).

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

228862144 is a wasteful number, since it uses less digits than its factorization.

228862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 228862144 is about 15128.1903742649. The cubic root of 228862144 is about 611.6805258693.

The spelling of 228862144 in words is "two hundred twenty-eight million, eight hundred sixty-two thousand, one hundred forty-four".