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228655678752 = 253219214832
BaseRepresentation
bin1101010011110011110…
…0001100010100100000
3210212012101222222210200
43110330330030110200
512221241323210002
6253013140425200
722343205125634
oct3247474142440
9725171888720
10228655678752
1188a77195836
12383943a8200
131874002b8c7
14b0d1b8cdc4
155e34055b1c
hex353cf0c520

228655678752 has 162 divisors, whose sum is σ = 686727006147. Its totient is φ = 72158366592.

The previous prime is 228655678751. The next prime is 228655678759. The reversal of 228655678752 is 257876556822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

228655678752 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 556 + 7 + 8 + 75 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114327839376 + 114327839376 = 338124^2 + 338124^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338124.

It is a self number, because there is not a number n which added to its sum of digits gives 228655678752.

It is not an unprimeable number, because it can be changed into a prime (228655678751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154183803 + ... + 154185285.

Almost surely, 2228655678752 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 228655678752

228655678752 is an abundant number, since it is smaller than the sum of its proper divisors (458071327395).

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

228655678752 is an equidigital number, since it uses as much as digits as its factorization.

228655678752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 1507 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 228655678752 in words is "two hundred twenty-eight billion, six hundred fifty-five million, six hundred seventy-eight thousand, seven hundred fifty-two".