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206712900 = 223252229681
BaseRepresentation
bin11000101001000…
…11000001000100
3112101222002210100
430110203001010
5410404303100
632302324100
75060013342
oct1424430104
9471862710
10206712900
11a6758509
1259289630
1333a97934
141d64c992
1513233400
hexc523044

206712900 has 54 divisors (see below), whose sum is σ = 647932922. Its totient is φ = 55123200.

The previous prime is 206712871. The next prime is 206712907. The reversal of 206712900 is 9217602.

206712900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 31203396 + 175509504 = 5586^2 + 13248^2 .

It is not an unprimeable number, because it can be changed into a prime (206712907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113941 + ... + 115740.

Almost surely, 2206712900 is an apocalyptic number.

206712900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206712900 is an abundant number, since it is smaller than the sum of its proper divisors (441220022).

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

206712900 is a wasteful number, since it uses less digits than its factorization.

206712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229701 (or 229691 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 206712900 is about 14377.5136932642. The cubic root of 206712900 is about 591.2745595717.

The spelling of 206712900 in words is "two hundred six million, seven hundred twelve thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 229681 459362 689043 918724 1148405 1378086 2067129 2296810 2756172 3445215 4134258 4593620 5742025 6890430 8268516 10335645 11484050 13780860 17226075 20671290 22968100 34452150 41342580 51678225 68904300 103356450 206712900