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206822628 = 223212894457
BaseRepresentation
bin11000101001111…
…01110011100100
3112102011200022100
430110331303210
5410421311003
632304532100
75060651265
oct1424756344
9472150270
10206822628
11a68229a1
1259321030
1333b0586c
141d67a96c
1513255ba3
hexc53dce4

206822628 has 36 divisors (see below), whose sum is σ = 523324620. Its totient is φ = 68871936.

The previous prime is 206822621. The next prime is 206822641. The reversal of 206822628 is 826228602.

206822628 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 22 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156950784 + 49871844 = 12528^2 + 7062^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206822592 and 206822601.

It is not an unprimeable number, because it can be changed into a prime (206822621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44176 + ... + 48632.

It is an arithmetic number, because the mean of its divisors is an integer number (14536795).

Almost surely, 2206822628 is an apocalyptic number.

It is an amenable number.

206822628 is an abundant number, since it is smaller than the sum of its proper divisors (316501992).

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

206822628 is a wasteful number, since it uses less digits than its factorization.

206822628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 206822628 is about 14381.3291458057. The cubic root of 206822628 is about 591.3791618138.

The spelling of 206822628 in words is "two hundred six million, eight hundred twenty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1289 2578 3867 4457 5156 7734 8914 11601 13371 15468 17828 23202 26742 40113 46404 53484 80226 160452 5745073 11490146 17235219 22980292 34470438 51705657 68940876 103411314 206822628