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10227712 = 21211227
BaseRepresentation
bin100111000001…
…000000000000
3201020121210011
4213001000000
510104241322
61003114304
7152635255
oct47010000
921217704
1010227712
115856260
123512994
132171401
14150342c
15d70677
hex9c1000

10227712 has 52 divisors (see below), whose sum is σ = 22410576. Its totient is φ = 4628480.

The previous prime is 10227689. The next prime is 10227731. The reversal of 10227712 is 21772201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44943 + ... + 45169.

Almost surely, 210227712 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 10227712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11205288).

10227712 is an abundant number, since it is smaller than the sum of its proper divisors (12182864).

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

10227712 is an equidigital number, since it uses as much as digits as its factorization.

10227712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 10227712 is about 3198.0794236541. The cubic root of 10227712 is about 217.0665131961.

Adding to 10227712 its reverse (21772201), we get a palindrome (31999913).

It can be divided in two parts, 10 and 227712, that added together give a palindrome (227722).

The spelling of 10227712 in words is "ten million, two hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 227 256 352 454 512 704 908 1024 1408 1816 2048 2497 2816 3632 4096 4994 5632 7264 9988 11264 14528 19976 22528 29056 39952 45056 58112 79904 116224 159808 232448 319616 464896 639232 929792 1278464 2556928 5113856 10227712