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228512928 = 2537340049
BaseRepresentation
bin11011001111011…
…01010010100000
3120220222122210210
431213231102200
5431444403203
634401454120
75443220310
oct1547552240
9526878723
10228512928
11107a98166
1264641340
133845b467
14224c5440
15150dc803
hexd9ed4a0

228512928 has 48 divisors (see below), whose sum is σ = 685540800. Its totient is φ = 65289216.

The previous prime is 228512927. The next prime is 228512939. The reversal of 228512928 is 829215822.

228512928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (228512923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169353 + ... + 170696.

It is an arithmetic number, because the mean of its divisors is an integer number (14282100).

Almost surely, 2228512928 is an apocalyptic number.

228512928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

228512928 is an abundant number, since it is smaller than the sum of its proper divisors (457027872).

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

228512928 is a wasteful number, since it uses less digits than its factorization.

228512928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340069 (or 340061 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 228512928 is about 15116.6440720155. The cubic root of 228512928 is about 611.3692506158.

The spelling of 228512928 in words is "two hundred twenty-eight million, five hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 340049 680098 1020147 1360196 2040294 2380343 2720392 4080588 4760686 5440784 7141029 8161176 9521372 10881568 14282058 16322352 19042744 28564116 32644704 38085488 57128232 76170976 114256464 228512928