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216122000 = 2453108061
BaseRepresentation
bin11001110000111…
…00001010010000
3120001200010122112
430320130022100
5420311401000
633240124452
75233002203
oct1470341220
9501603575
10216122000
11100aa4726
1260466728
1335a10553
14209bb93a
1513e91235
hexce1c290

216122000 has 40 divisors (see below), whose sum is σ = 522587832. Its totient is φ = 86448000.

The previous prime is 216121981. The next prime is 216122033. The reversal of 216122000 is 221612.

It can be written as a sum of positive squares in 4 ways, for example, as 2611456 + 213510544 = 1616^2 + 14612^2 .

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

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, 52031 + ... + 56030.

Almost surely, 2216122000 is an apocalyptic number.

216122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216122000 is an abundant number, since it is smaller than the sum of its proper divisors (306465832).

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

216122000 is a wasteful number, since it uses less digits than its factorization.

216122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108084 (or 108068 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 216122000 is about 14701.0883950815. The cubic root of 216122000 is about 600.1129417019.

Adding to 216122000 its reverse (221612), we get a palindrome (216343612).

The spelling of 216122000 in words is "two hundred sixteen million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 108061 216122 432244 540305 864488 1080610 1728976 2161220 2701525 4322440 5403050 8644880 10806100 13507625 21612200 27015250 43224400 54030500 108061000 216122000