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768147228 = 2232671671907
BaseRepresentation
bin101101110010001…
…111111100011100
31222112101220220100
4231302033330130
53033121202403
6204120021100
725015100202
oct5562177434
91875356810
10768147228
11364665422
12195301790
13c31ac7b4
1474037072
15476842a3
hex2dc8ff1c

768147228 has 72 divisors (see below), whose sum is σ = 1983526272. Its totient is φ = 250585632.

The previous prime is 768147223. The next prime is 768147229. The reversal of 768147228 is 822741867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768147223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401851 + ... + 403757.

It is an arithmetic number, because the mean of its divisors is an integer number (27548976).

Almost surely, 2768147228 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 768147228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991763136).

768147228 is an abundant number, since it is smaller than the sum of its proper divisors (1215379044).

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

768147228 is a wasteful number, since it uses less digits than its factorization.

768147228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2146 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 768147228 is about 27715.4691102280. The cubic root of 768147228 is about 915.8299090497.

The spelling of 768147228 in words is "seven hundred sixty-eight million, one hundred forty-seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 167 201 268 334 402 501 603 668 804 1002 1206 1503 1907 2004 2412 3006 3814 5721 6012 7628 11189 11442 17163 22378 22884 33567 34326 44756 67134 68652 100701 127769 134268 201402 255538 318469 383307 402804 511076 636938 766614 955407 1149921 1273876 1533228 1910814 2299842 2866221 3821628 4599684 5732442 11464884 21337423 42674846 64012269 85349692 128024538 192036807 256049076 384073614 768147228