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1000166224 = 24239728019
BaseRepresentation
bin111011100111010…
…101001101010000
32120200222201010111
4323213111031100
54022020304344
6243125011104
733533162341
oct7347251520
92520881114
101000166224
11473627762
1223ab53a94
1312c297a45
1496b920c8
155cc15834
hex3b9d5350

1000166224 has 40 divisors (see below), whose sum is σ = 2042994240. Its totient is φ = 473392128.

The previous prime is 1000166221. The next prime is 1000166249. The reversal of 1000166224 is 4226610001.

It is a junction number, because it is equal to n+sod(n) for n = 1000166195 and 1000166204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000166221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21687 + ... + 49705.

It is an arithmetic number, because the mean of its divisors is an integer number (51074856).

Almost surely, 21000166224 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 1000166224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021497120).

1000166224 is an abundant number, since it is smaller than the sum of its proper divisors (1042828016).

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

1000166224 is a wasteful number, since it uses less digits than its factorization.

1000166224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28147 (or 28141 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1000166224 is about 31625.4047246830. The cubic root of 1000166224 is about 1000.0554049302.

Adding to 1000166224 its reverse (4226610001), we get a palindrome (5226776225).

The spelling of 1000166224 in words is "one billion, one hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 97 184 194 368 388 776 1552 2231 4462 8924 17848 28019 35696 56038 112076 224152 448304 644437 1288874 2577748 2717843 5155496 5435686 10310992 10871372 21742744 43485488 62510389 125020778 250041556 500083112 1000166224