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214331300 = 22522143313
BaseRepresentation
bin11001100011001…
…10111110100100
3112221022011021022
430301212332210
5414332100200
633133510312
75211533411
oct1461467644
9487264238
10214331300
11aaa91307
125b942398
1335534471
1420673108
1513c3a885
hexcc66fa4

214331300 has 18 divisors (see below), whose sum is σ = 465099138. Its totient is φ = 85732480.

The previous prime is 214331261. The next prime is 214331309. The reversal of 214331300 is 3133412.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30891364 + 183439936 = 5558^2 + 13544^2 .

It is not an unprimeable number, because it can be changed into a prime (214331309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1071557 + ... + 1071756.

It is an arithmetic number, because the mean of its divisors is an integer number (25838841).

Almost surely, 2214331300 is an apocalyptic number.

214331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214331300 is an abundant number, since it is smaller than the sum of its proper divisors (250767838).

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

214331300 is a wasteful number, since it uses less digits than its factorization.

214331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143327 (or 2143320 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 214331300 is about 14640.0580599942. The cubic root of 214331300 is about 598.4509113902.

Adding to 214331300 its reverse (3133412), we get a palindrome (217464712).

The spelling of 214331300 in words is "two hundred fourteen million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2143313 4286626 8573252 10716565 21433130 42866260 53582825 107165650 214331300