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10212224 = 27117253
BaseRepresentation
bin100110111101…
…001110000000
3201012211112112
4212331032000
510103242344
61002514452
7152542151
oct46751600
921184475
1010212224
115845660
123505a28
132167349
1414db928
15d6ac9e
hex9bd380

10212224 has 32 divisors (see below), whose sum is σ = 22197240. Its totient is φ = 4641280.

The previous prime is 10212203. The next prime is 10212233. The reversal of 10212224 is 42221201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 10212199 and 10212208.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2219 + ... + 5034.

Almost surely, 210212224 is an apocalyptic number.

It is an amenable number.

10212224 is an abundant number, since it is smaller than the sum of its proper divisors (11985016).

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

10212224 is an equidigital number, since it uses as much as digits as its factorization.

10212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 10212224 is about 3195.6570529392. The cubic root of 10212224 is about 216.9568886586.

Adding to 10212224 its reverse (42221201), we get a palindrome (52433425).

The spelling of 10212224 in words is "ten million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 7253 14506 29012 58024 79783 116048 159566 232096 319132 464192 638264 928384 1276528 2553056 5106112 10212224