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206652992 = 26721337137
BaseRepresentation
bin11000101000101…
…00011001000000
3112101212001121112
430110110121000
5410400343432
632301142452
75056343600
oct1424243100
9471761545
10206652992
11a67174a7
125925aa28
1333a765a0
141d634c00
15132207b2
hexc514640

206652992 has 168 divisors, whose sum is σ = 531458424. Its totient is φ = 78962688.

The previous prime is 206652973. The next prime is 206653001. The reversal of 206652992 is 299256602.

It can be written as a sum of positive squares in 4 ways, for example, as 42198016 + 164454976 = 6496^2 + 12824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508348 + ... + 1508484.

It is an arithmetic number, because the mean of its divisors is an integer number (3163443).

Almost surely, 2206652992 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 206652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265729212).

206652992 is an abundant number, since it is smaller than the sum of its proper divisors (324805432).

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

206652992 is a wasteful number, since it uses less digits than its factorization.

206652992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 206652992 is about 14375.4301500859. The cubic root of 206652992 is about 591.2174344499.

The spelling of 206652992 in words is "two hundred six million, six hundred fifty-two thousand, nine hundred ninety-two".