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10226048 = 277101113
BaseRepresentation
bin100111000000…
…100110000000
3201020112111112
4213000212000
510104213143
61003102452
7152630360
oct47004600
921215445
1010226048
115854a88
123511a28
132170721
1415029a0
15d6ee18
hex9c0980

10226048 has 64 divisors (see below), whose sum is σ = 23721120. Its totient is φ = 4300800.

The previous prime is 10226033. The next prime is 10226071. The reversal of 10226048 is 84062201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90440 + ... + 90552.

Almost surely, 210226048 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 10226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860560).

10226048 is an abundant number, since it is smaller than the sum of its proper divisors (13495072).

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

10226048 is a wasteful number, since it uses less digits than its factorization.

10226048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10226048 is about 3197.8192569312. The cubic root of 10226048 is about 217.0547406619.

Adding to 10226048 its reverse (84062201), we get a palindrome (94288249).

The spelling of 10226048 in words is "ten million, two hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 113 128 202 224 226 404 448 452 707 791 808 896 904 1414 1582 1616 1808 2828 3164 3232 3616 5656 6328 6464 7232 11312 11413 12656 12928 14464 22624 22826 25312 45248 45652 50624 79891 90496 91304 101248 159782 182608 319564 365216 639128 730432 1278256 1460864 2556512 5113024 10226048