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223092828 = 22327885289
BaseRepresentation
bin11010100110000…
…10000001011100
3120112210021211100
431103002001130
5424102432303
634045353100
75346154260
oct1523020134
9515707740
10223092828
11104a25a42
1262868790
13372b13ba
14218b40a0
15148bb8a3
hexd4c205c

223092828 has 36 divisors (see below), whose sum is σ = 644491120. Its totient is φ = 63740736.

The previous prime is 223092827. The next prime is 223092907. The reversal of 223092828 is 828290322.

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

It is a super-3 number, since 3×2230928283 (a number of 26 digits) contains 333 as substring.

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 = 223092792 and 223092801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223092827) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 442393 + ... + 442896.

Almost surely, 2223092828 is an apocalyptic number.

223092828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

223092828 is an abundant number, since it is smaller than the sum of its proper divisors (421398292).

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

223092828 is a wasteful number, since it uses less digits than its factorization.

223092828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885306 (or 885301 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 223092828 is about 14936.2923110121. The cubic root of 223092828 is about 606.4968313924.

The spelling of 223092828 in words is "two hundred twenty-three million, ninety-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 885289 1770578 2655867 3541156 5311734 6197023 7967601 10623468 12394046 15935202 18591069 24788092 31870404 37182138 55773207 74364276 111546414 223092828