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10221312 = 28313309
BaseRepresentation
bin100110111111…
…011100000000
3201020022000010
4212333130000
510104040222
61003024520
7152610513
oct46773400
921208003
1010221312
115851472
12350b140
13216b51a
141500d7a
15d6d80c
hex9bf700

10221312 has 36 divisors (see below), whose sum is σ = 27205640. Its totient is φ = 3406848.

The previous prime is 10221293. The next prime is 10221347. The reversal of 10221312 is 21312201.

10221312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5887 + ... + 7422.

Almost surely, 210221312 is an apocalyptic number.

10221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221312 is an abundant number, since it is smaller than the sum of its proper divisors (16984328).

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

10221312 is an equidigital number, since it uses as much as digits as its factorization.

10221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13328 (or 13314 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10221312 is about 3197.0786665329. The cubic root of 10221312 is about 217.0212272268.

Adding to 10221312 its reverse (21312201), we get a palindrome (31533513).

The spelling of 10221312 in words is "ten million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 13309 26618 39927 53236 79854 106472 159708 212944 319416 425888 638832 851776 1277664 1703552 2555328 3407104 5110656 10221312