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228736835712 = 273472112612
BaseRepresentation
bin1101010100000111000…
…1110010000010000000
3210212102001201012020000
43111001301302002000
512221423112220322
6253025200120000
722345212011100
oct3250161620200
9725361635200
10228736835712
1189008a87200
12383b7606000
1318753aa5788
14b0dc877200
155e3b2373ac
hex3541c72080

228736835712 has 1080 divisors, whose sum is σ = 884888169165. Its totient is φ = 58438195200.

The previous prime is 228736835687. The next prime is 228736835731. The reversal of 228736835712 is 217538637822.

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.

228736835712 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 3 + 68 + 3 + 571 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154939853376 + 73796982336 = 393624^2 + 271656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338184.

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

Its product of digits (6773760) is a multiple of the sum of its prime divisors (84).

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 134 ways as a sum of consecutive naturals, for example, 3749784162 + ... + 3749784222.

Almost surely, 2228736835712 is an apocalyptic number.

228736835712 is a gapful number since it is divisible by the number (22) 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 228736835712

228736835712 is an abundant number, since it is smaller than the sum of its proper divisors (656151333453).

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

228736835712 is an equidigital number, since it uses as much as digits as its factorization.

228736835712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 84 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 228736835712 in words is "two hundred twenty-eight billion, seven hundred thirty-six million, eight hundred thirty-five thousand, seven hundred twelve".