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10228192 = 2513231069
BaseRepresentation
bin100111000001…
…000111100000
3201020122102221
4213001013200
510104300232
61003120424
7152636542
oct47010740
921218387
1010228192
115856657
123513114
1321716b0
141503692
15d70897
hex9c11e0

10228192 has 48 divisors (see below), whose sum is σ = 22649760. Its totient is φ = 4511232.

The previous prime is 10228177. The next prime is 10228193. The reversal of 10228192 is 29182201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9034 + ... + 10102.

It is an arithmetic number, because the mean of its divisors is an integer number (471870).

Almost surely, 210228192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10228192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11324880).

10228192 is an abundant number, since it is smaller than the sum of its proper divisors (12421568).

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

10228192 is a wasteful number, since it uses less digits than its factorization.

10228192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 10228192 is about 3198.1544678142. The cubic root of 10228192 is about 217.0699088822.

The spelling of 10228192 in words is "ten million, two hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1069 1196 2138 2392 4276 4784 8552 9568 13897 17104 24587 27794 34208 49174 55588 98348 111176 196696 222352 319631 393392 444704 639262 786784 1278524 2557048 5114096 10228192