Search a number
-
+
10022304 = 253104399
BaseRepresentation
bin100110001110…
…110110100000
3200212012000110
4212032312200
510031203204
6554451320
7151121355
oct46166640
920765013
1010022304
1157259a6
123433b40
1320cba76
14148c62c
15d2e889
hex98eda0

10022304 has 24 divisors (see below), whose sum is σ = 26308800. Its totient is φ = 3340736.

The previous prime is 10022303. The next prime is 10022321. The reversal of 10022304 is 40322001.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10022304.

It is not an unprimeable number, because it can be changed into a prime (10022303) by changing a digit.

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, 52104 + ... + 52295.

It is an arithmetic number, because the mean of its divisors is an integer number (1096200).

Almost surely, 210022304 is an apocalyptic number.

It is an amenable number.

10022304 is an abundant number, since it is smaller than the sum of its proper divisors (16286496).

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

10022304 is a wasteful number, since it uses less digits than its factorization.

10022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104412 (or 104404 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10022304 is about 3165.8022679883. The cubic root of 10022304 is about 215.6035251035.

Adding to 10022304 its reverse (40322001), we get a palindrome (50344305).

The spelling of 10022304 in words is "ten million, twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 104399 208798 313197 417596 626394 835192 1252788 1670384 2505576 3340768 5011152 10022304