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227380704800 = 25522327332
BaseRepresentation
bin1101001111000011110…
…0100011011000100000
3210201220112220121100012
43103300330203120200
512211133430023200
6252242433344052
722266464046464
oct3236074433040
9721815817305
10227380704800
1188482530a57
1238099408028
1318598b46952
14b0107044a4
155dac15aa35
hex34f0f23620

227380704800 has 162 divisors, whose sum is σ = 581069682207. Its totient is φ = 86879147520.

The previous prime is 227380704791. The next prime is 227380704827. The reversal of 227380704800 is 8407083722.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 208816097296 + 18564607504 = 456964^2 + 136252^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337180.

It is a Duffinian number.

It is an unprimeable number.

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, 310205234 + ... + 310205966.

Almost surely, 2227380704800 is an apocalyptic number.

227380704800 is a gapful number since it is divisible by the number (20) 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 227380704800

227380704800 is an abundant number, since it is smaller than the sum of its proper divisors (353688977407).

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

227380704800 is an frugal number, since it uses more digits than its factorization.

227380704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 227380704800 in words is "two hundred twenty-seven billion, three hundred eighty million, seven hundred four thousand, eight hundred".