Search a number
-
+
200011008 = 283312271
BaseRepresentation
bin10111110101111…
…10110100000000
3111221100121112010
423322332310000
5402200323013
631502532520
74646031321
oct1372766400
9457317463
10200011008
11a29a025a
1256b97140
133258c312
141c7c6448
151285c7c3
hexbebed00

200011008 has 108 divisors (see below), whose sum is σ = 552076224. Its totient is φ = 64281600.

The previous prime is 200010983. The next prime is 200011033. The reversal of 200011008 is 800110002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200010983) and next prime (200011033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200010984 and 200011002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737913 + ... + 738183.

Almost surely, 2200011008 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 200011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276038112).

200011008 is an abundant number, since it is smaller than the sum of its proper divisors (352065216).

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

200011008 is an equidigital number, since it uses as much as digits as its factorization.

200011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 200011008 is about 14142.5248099482. The cubic root of 200011008 is about 584.8142766415.

The spelling of 200011008 in words is "two hundred million, eleven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 271 372 384 496 542 744 768 813 961 992 1084 1488 1626 1922 1984 2168 2883 2976 3252 3844 3968 4336 5766 5952 6504 7688 7936 8401 8672 11532 11904 13008 15376 16802 17344 23064 23808 25203 26016 30752 33604 34688 46128 50406 52032 61504 67208 69376 92256 100812 104064 123008 134416 184512 201624 208128 246016 260431 268832 369024 403248 520862 537664 738048 781293 806496 1041724 1075328 1562586 1612992 2083448 2150656 3125172 3225984 4166896 6250344 6451968 8333792 12500688 16667584 25001376 33335168 50002752 66670336 100005504 200011008