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1024223112 = 2332115632297
BaseRepresentation
bin111101000011000…
…110011110001000
32122101020220222100
4331003012132020
54044200114422
6245344353400
734244516133
oct7503063610
92571226870
101024223112
11486168a90
12247015860
1313426b8a3
149a05521a
155edb87ac
hex3d0c6788

1024223112 has 96 divisors (see below), whose sum is σ = 3032808480. Its totient is φ = 309684480.

The previous prime is 1024223111. The next prime is 1024223203. The reversal of 1024223112 is 2113224201.

It is a happy number.

It is a super-3 number, since 3×10242231123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1024223111) 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, 444748 + ... + 447044.

It is an arithmetic number, because the mean of its divisors is an integer number (31591755).

Almost surely, 21024223112 is an apocalyptic number.

1024223112 is a gapful number since it is divisible by the number (12) 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 1024223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516404240).

1024223112 is an abundant number, since it is smaller than the sum of its proper divisors (2008585368).

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

1024223112 is a wasteful number, since it uses less digits than its factorization.

1024223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1024223112 is about 32003.4859351290. The cubic root of 1024223112 is about 1008.0100386377.

Adding to 1024223112 its reverse (2113224201), we get a palindrome (3137447313).

The spelling of 1024223112 in words is "one billion, twenty-four million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 563 792 1126 1689 2252 2297 3378 4504 4594 5067 6193 6756 6891 9188 10134 12386 13512 13782 18376 18579 20268 20673 24772 25267 27564 37158 40536 41346 49544 50534 55128 55737 74316 75801 82692 101068 111474 148632 151602 165384 202136 222948 227403 303204 445896 454806 606408 909612 1293211 1819224 2586422 3879633 5172844 7759266 10345688 11638899 14225321 15518532 23277798 28450642 31037064 42675963 46555596 56901284 85351926 93111192 113802568 128027889 170703852 256055778 341407704 512111556 1024223112