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200466006 = 23131728893
BaseRepresentation
bin10111111001011…
…01111001010110
3111222012201122220
423330231321112
5402304403011
631520403210
74652634666
oct1374557126
9458181586
10200466006
11a3181094
1257176506
13326bb450
141c8a41a6
15128ec506
hexbf2de56

200466006 has 48 divisors (see below), whose sum is σ = 458716944. Its totient is φ = 58046976.

The previous prime is 200466001. The next prime is 200466029. The reversal of 200466006 is 600664002.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200466001) 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, 18096 + ... + 26988.

It is an arithmetic number, because the mean of its divisors is an integer number (9556603).

Almost surely, 2200466006 is an apocalyptic number.

200466006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200466006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229358472).

200466006 is an abundant number, since it is smaller than the sum of its proper divisors (258250938).

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

200466006 is a wasteful number, since it uses less digits than its factorization.

200466006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 200466006 is about 14158.6018377522. The cubic root of 200466006 is about 585.2573985995.

The spelling of 200466006 in words is "two hundred million, four hundred sixty-six thousand, six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 442 578 663 867 1326 1734 3757 7514 8893 11271 17786 22542 26679 53358 115609 151181 231218 302362 346827 453543 693654 907086 1965353 2570077 3930706 5140154 5896059 7710231 11792118 15420462 33411001 66822002 100233003 200466006