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228748068992 = 272924121061
BaseRepresentation
bin1101010100001001110…
…0101000100010000000
3210212102211211220101102
43111002130220202000
512221434001201432
6253030240553532
722345406335142
oct3250234504200
9725384756342
10228748068992
1189014359a03
12383bb3228a8
13187562097a1
14b10015cc92
155e3c205962
hex3542728880

228748068992 has 96 divisors (see below), whose sum is σ = 473833548900. Its totient is φ = 109868236800.

The previous prime is 228748068863. The next prime is 228748069013. The reversal of 228748068992 is 299860847822.

It can be written as a sum of positive squares in 6 ways, for example, as 189280684096 + 39467384896 = 435064^2 + 198664^2 .

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 11 ways as a sum of consecutive naturals, for example, 215596142 + ... + 215597202.

Almost surely, 2228748068992 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 228748068992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236916774450).

228748068992 is an abundant number, since it is smaller than the sum of its proper divisors (245085479908).

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

228748068992 is an equidigital number, since it uses as much as digits as its factorization.

228748068992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 65.

The spelling of 228748068992 in words is "two hundred twenty-eight billion, seven hundred forty-eight million, sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 241 464 482 928 964 1061 1856 1928 2122 3712 3856 4244 6989 7712 8488 13978 15424 16976 27956 30769 30848 33952 55912 58081 61538 67904 111824 116162 123076 135808 223648 232324 246152 255701 447296 464648 492304 511402 894592 929296 984608 1022804 1684349 1858592 1969216 2045608 3368698 3717184 3938432 4091216 6737396 7415329 7434368 8182432 13474792 14830658 16364864 26949584 29661316 32729728 53899168 59322632 61623941 107798336 118645264 123247882 215596672 237290528 246495764 474581056 492991528 949162112 985983056 1787094289 1971966112 3574188578 3943932224 7148377156 7887864448 14296754312 28593508624 57187017248 114374034496 228748068992