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228302848 = 21329312
BaseRepresentation
bin11011001101110…
…10000000000000
3120220120222122001
431212322000000
5431421142343
634353153344
75441353654
oct1546720000
9526528561
10228302848
11107964344
126455b854
13383b6957
142246ca64
151509a44d
hexd9ba000

228302848 has 84 divisors (see below), whose sum is σ = 488049570. Its totient is φ = 106659840.

The previous prime is 228302831. The next prime is 228302881. The reversal of 228302848 is 848203822.

It can be written as a sum of positive squares in only one way, i.e., 192876544 + 35426304 = 13888^2 + 5952^2 .

It is a super-2 number, since 2×2283028482 = 104244380809822208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7364593 + ... + 7364623.

Almost surely, 2228302848 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 228302848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244024785).

228302848 is an abundant number, since it is smaller than the sum of its proper divisors (259746722).

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

228302848 is an frugal number, since it uses more digits than its factorization.

228302848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 62 counting only the distinct ones).

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

The square root of 228302848 is about 15109.6938420340. The cubic root of 228302848 is about 611.1818420636.

The spelling of 228302848 in words is "two hundred twenty-eight million, three hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 256 464 496 512 899 928 961 992 1024 1798 1856 1922 1984 2048 3596 3712 3844 3968 4096 7192 7424 7688 7936 8192 14384 14848 15376 15872 27869 28768 29696 30752 31744 55738 57536 59392 61504 63488 111476 115072 118784 123008 126976 222952 230144 237568 246016 253952 445904 460288 492032 891808 920576 984064 1783616 1841152 1968128 3567232 3682304 3936256 7134464 7364608 7872512 14268928 28537856 57075712 114151424 228302848