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206322320 = 2457613389
BaseRepresentation
bin11000100110000…
…11101010010000
3112101020021000102
430103003222100
5410304303240
632250111532
75053465541
oct1423035220
9471207012
10206322320
11a6511016
125911b5a8
133398bc19
141d58a4c8
15131a7815
hexc4c3a90

206322320 has 40 divisors (see below), whose sum is σ = 480471480. Its totient is φ = 82396160.

The previous prime is 206322317. The next prime is 206322367. The reversal of 206322320 is 23223602.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13778944 + 192543376 = 3712^2 + 13876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 206322292 and 206322301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59186 + ... + 62574.

It is an arithmetic number, because the mean of its divisors is an integer number (12011787).

Almost surely, 2206322320 is an apocalyptic number.

206322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206322320 is an abundant number, since it is smaller than the sum of its proper divisors (274149160).

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

206322320 is a wasteful number, since it uses less digits than its factorization.

206322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 206322320 is about 14363.9242548824. The cubic root of 206322320 is about 590.9019241878.

Adding to 206322320 its reverse (23223602), we get a palindrome (229545922).

The spelling of 206322320 in words is "two hundred six million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 761 1522 3044 3389 3805 6088 6778 7610 12176 13556 15220 16945 27112 30440 33890 54224 60880 67780 135560 271120 2579029 5158058 10316116 12895145 20632232 25790290 41264464 51580580 103161160 206322320