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200666466 = 2327211133743
BaseRepresentation
bin10111111010111…
…10110101100010
3111222120220122100
423331132311202
5402332311331
631524551230
74654431300
oct1375366542
9458526570
10200666466
11a32a8760
1257252516
133275b770
141c917270
151293bae6
hexbf5ed62

200666466 has 288 divisors, whose sum is σ = 624431808. Its totient is φ = 45722880.

The previous prime is 200666447. The next prime is 200666471. The reversal of 200666466 is 664666002.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 200666466.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4666641 + ... + 4666683.

It is an arithmetic number, because the mean of its divisors is an integer number (2168166).

Almost surely, 2200666466 is an apocalyptic number.

200666466 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 200666466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312215904).

200666466 is an abundant number, since it is smaller than the sum of its proper divisors (423765342).

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

200666466 is a wasteful number, since it uses less digits than its factorization.

200666466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 200666466 is about 14165.6791577390. The cubic root of 200666466 is about 585.4524135656.

It can be divided in two parts, 200 and 666466, that added together give a palindrome (666666).

The spelling of 200666466 in words is "two hundred million, six hundred sixty-six thousand, four hundred sixty-six".