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221134300 = 225217130079
BaseRepresentation
bin11010010111000…
…11110111011100
3120102002210020021
431023203313130
5423102244200
633535401524
75323416262
oct1513436734
9512083207
10221134300
11103908522
12620832a4
1336a76aca
1421524432
151463141a
hexd2e3ddc

221134300 has 36 divisors (see below), whose sum is σ = 508092480. Its totient is φ = 83249920.

The previous prime is 221134297. The next prime is 221134313. The reversal of 221134300 is 3431122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63340 + ... + 66739.

It is an arithmetic number, because the mean of its divisors is an integer number (14113680).

Almost surely, 2221134300 is an apocalyptic number.

221134300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221134300 is an abundant number, since it is smaller than the sum of its proper divisors (286958180).

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

221134300 is a wasteful number, since it uses less digits than its factorization.

221134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130110 (or 130103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 221134300 is about 14870.5850591024. The cubic root of 221134300 is about 604.7168039156.

Adding to 221134300 its reverse (3431122), we get a palindrome (224565422).

The spelling of 221134300 in words is "two hundred twenty-one million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 130079 260158 520316 650395 1300790 2211343 2601580 3251975 4422686 6503950 8845372 11056715 13007900 22113430 44226860 55283575 110567150 221134300