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228156864 = 263131719283
BaseRepresentation
bin11011001100101…
…10010111000000
3120220022120101020
431212112113000
5431402004424
634350105440
75440205235
oct1546262700
9526276336
10228156864
111078746a1
12644ab280
1338365380
142243178c
151506c079
hexd9965c0

228156864 has 224 divisors, whose sum is σ = 727130880. Its totient is φ = 62373888.

The previous prime is 228156823. The next prime is 228156871. The reversal of 228156864 is 468651822.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 806067 + ... + 806349.

It is an arithmetic number, because the mean of its divisors is an integer number (3246120).

Almost surely, 2228156864 is an apocalyptic number.

228156864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363565440).

228156864 is an abundant number, since it is smaller than the sum of its proper divisors (498974016).

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

228156864 is a wasteful number, since it uses less digits than its factorization.

228156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 228156864 is about 15104.8622635230. The cubic root of 228156864 is about 611.0515446759.

The spelling of 228156864 in words is "two hundred twenty-eight million, one hundred fifty-six thousand, eight hundred sixty-four".