Search a number
-
+
4228881072 = 2431319218773
BaseRepresentation
bin1111110000001111…
…1001101010110000
3101220201101102020220
43330003321222300
532130043143242
61535343333040
7206536616223
oct37403715260
911821342226
104228881072
111880102a39
129a02b1180
1352517b5c0
142c18d35ba
1519b3d6bec
hexfc0f9ab0

4228881072 has 120 divisors (see below), whose sum is σ = 12417423984. Its totient is φ = 1232644608.

The previous prime is 4228881061. The next prime is 4228881073. The reversal of 4228881072 is 2701888224.

It is a super-2 number, since 2×42288810722 = 35766870242239738368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4228881073) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 215878 + ... + 234650.

Almost surely, 24228881072 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 4228881072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208711992).

4228881072 is an abundant number, since it is smaller than the sum of its proper divisors (8188542912).

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

4228881072 is a wasteful number, since it uses less digits than its factorization.

4228881072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18835 (or 18810 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 4228881072 is about 65029.8475471072. The cubic root of 4228881072 is about 1617.1184195612.

The spelling of 4228881072 in words is "four billion, two hundred twenty-eight million, eight hundred eighty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 361 456 494 624 722 741 912 988 1083 1444 1482 1976 2166 2888 2964 3952 4332 4693 5776 5928 8664 9386 11856 14079 17328 18772 18773 28158 37544 37546 56316 56319 75088 75092 112632 112638 150184 225264 225276 244049 300368 356687 450552 488098 713374 732147 901104 976196 1070061 1426748 1464294 1952392 2140122 2853496 2928588 3904784 4280244 4636931 5706992 5857176 6777053 8560488 9273862 11714352 13554106 13910793 17120976 18547724 20331159 27108212 27821586 37095448 40662318 54216424 55643172 74190896 81324636 88101689 108432848 111286344 162649272 176203378 222572688 264305067 325298544 352406756 528610134 704813512 1057220268 1409627024 2114440536 4228881072