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288054228 = 223711311747
BaseRepresentation
bin10001001010110…
…101101111010100
3202002000200010010
4101022311233110
51042220213403
644330000220
710065264150
oct2112655724
9662020103
10288054228
11138665450
1280576070
13478a76b7
142a384060
151a44e603
hex112b5bd4

288054228 has 48 divisors (see below), whose sum is σ = 837978624. Its totient is φ = 74819040.

The previous prime is 288054223. The next prime is 288054251. The reversal of 288054228 is 822450882.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288054223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154950 + ... + 156797.

It is an arithmetic number, because the mean of its divisors is an integer number (17457888).

Almost surely, 2288054228 is an apocalyptic number.

288054228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

288054228 is an abundant number, since it is smaller than the sum of its proper divisors (549924396).

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

288054228 is a wasteful number, since it uses less digits than its factorization.

288054228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311772 (or 311770 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 288054228 is about 16972.1603810475. The cubic root of 288054228 is about 660.4268955367.

It can be divided in two parts, 28805 and 4228, that added together give a palindrome (33033).

The spelling of 288054228 in words is "two hundred eighty-eight million, fifty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 311747 623494 935241 1246988 1870482 2182229 3429217 3740964 4364458 6546687 6858434 8728916 10287651 13093374 13716868 20575302 24004519 26186748 41150604 48009038 72013557 96018076 144027114 288054228