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1000140224 = 2641563677
BaseRepresentation
bin111011100111001…
…110110111000000
32120200221101110112
4323213032313000
54022013441344
6243124250452
733533023466
oct7347166700
92520841415
101000140224
1147360a176
1223ab40a28
1312c288c65
1496b86836
155cc0cc9e
hex3b9cedc0

1000140224 has 56 divisors (see below), whose sum is σ = 2039678928. Its totient is φ = 486287360.

The previous prime is 1000140217. The next prime is 1000140227. The reversal of 1000140224 is 4220410001.

It is a junction number, because it is equal to n+sod(n) for n = 1000140199 and 1000140208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000140227) 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 7 ways as a sum of consecutive naturals, for example, 1476974 + ... + 1477650.

It is an arithmetic number, because the mean of its divisors is an integer number (36422838).

Almost surely, 21000140224 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 1000140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019839464).

1000140224 is an abundant number, since it is smaller than the sum of its proper divisors (1039538704).

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

1000140224 is an equidigital number, since it uses as much as digits as its factorization.

1000140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1000140224 is about 31624.9936600784. The cubic root of 1000140224 is about 1000.0467391488.

Adding to 1000140224 its reverse (4220410001), we get a palindrome (5220550225).

The spelling of 1000140224 in words is "one billion, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 563 656 677 1126 1312 1354 2252 2624 2708 4504 5416 9008 10832 18016 21664 23083 27757 36032 43328 46166 55514 92332 111028 184664 222056 369328 381151 444112 738656 762302 888224 1477312 1524604 1776448 3049208 6098416 12196832 15627191 24393664 31254382 62508764 125017528 250035056 500070112 1000140224