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228505576338 = 23101321072
BaseRepresentation
bin1101010011001111111…
…1100110001110010010
3210211210221120000000000
43110303333212032102
512220434411420323
6252550215310430
722336403231364
oct3246377461622
9724727500000
10228505576338
11889aa493656
123835207b416
1318717bc5200
14b0b9c78d34
155e25ca5e43
hex3533fe6392

228505576338 has 198 divisors, whose sum is σ = 561977350389. Its totient is φ = 69652310832.

The previous prime is 228505576333. The next prime is 228505576363. The reversal of 228505576338 is 833675505822.

228505576338 is a `hidden beast` number, since 2 + 2 + 8 + 50 + 557 + 6 + 3 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195379028289 + 33126548049 = 442017^2 + 182007^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338013.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (228505576333) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 2135566081 + ... + 2135566187.

Almost surely, 2228505576338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228505576338

228505576338 is an abundant number, since it is smaller than the sum of its proper divisors (333471774051).

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

228505576338 is an frugal number, since it uses more digits than its factorization.

228505576338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 228505576338 in words is "two hundred twenty-eight billion, five hundred five million, five hundred seventy-six thousand, three hundred thirty-eight".