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2223372928 = 27729412087
BaseRepresentation
bin1000010010000101…
…1111101010000000
312201221200001021111
42010201133222000
514023140413203
61004342333104
7106045233550
oct20441375200
95657601244
102223372928
11a41043a97
1252072a194
132958260aa
14171403160
15d02d726d
hex8485fa80

2223372928 has 128 divisors (see below), whose sum is σ = 5366995200. Its totient is φ = 897146880.

The previous prime is 2223372923. The next prime is 2223372941. The reversal of 2223372928 is 8292733222.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2223372923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1064301 + ... + 1066387.

It is an arithmetic number, because the mean of its divisors is an integer number (41929650).

Almost surely, 22223372928 is an apocalyptic number.

2223372928 is a gapful number since it is divisible by the number (28) 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 2223372928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683497600).

2223372928 is an abundant number, since it is smaller than the sum of its proper divisors (3143622272).

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

2223372928 is a wasteful number, since it uses less digits than its factorization.

2223372928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2166 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 2223372928 is about 47152.6555773903. The cubic root of 2223372928 is about 1305.1810845632.

The spelling of 2223372928 in words is "two billion, two hundred twenty-three million, three hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 41 56 58 64 82 112 116 128 164 203 224 232 287 328 406 448 464 574 656 812 896 928 1148 1189 1312 1624 1856 2087 2296 2378 2624 3248 3712 4174 4592 4756 5248 6496 8323 8348 9184 9512 12992 14609 16646 16696 18368 19024 25984 29218 33292 33392 36736 38048 58436 60523 66584 66784 76096 85567 116872 121046 133168 133568 152192 171134 233744 242092 266336 267136 342268 423661 467488 484184 532672 598969 684536 847322 934976 968368 1065344 1197938 1369072 1694644 1869952 1936736 2395876 2481443 2738144 3389288 3873472 4791752 4962886 5476288 6778576 7746944 9583504 9925772 10952576 13557152 17370101 19167008 19851544 27114304 34740202 38334016 39703088 54228608 69480404 76668032 79406176 138960808 158812352 277921616 317624704 555843232 1111686464 2223372928