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10424224 = 252947239
BaseRepresentation
bin100111110000…
…111110100000
3201121121100101
4213300332200
510132033344
61011232144
7154414216
oct47607640
921547311
1010424224
11597a968
1235a8654
13220c9a5
141554cb6
15dad9d4
hex9f0fa0

10424224 has 48 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 4904704.

The previous prime is 10424203. The next prime is 10424243. The reversal of 10424224 is 42242401.

10424224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43497 + ... + 43735.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 210424224 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 10424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

10424224 is an abundant number, since it is smaller than the sum of its proper divisors (11348576).

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

10424224 is a wasteful number, since it uses less digits than its factorization.

10424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 10424224 is about 3228.6566866113. The cubic root of 10424224 is about 218.4479189267.

Adding to 10424224 its reverse (42242401), we get a palindrome (52666625).

It can be divided in two parts, 10424 and 224, that added together give a cube (10648 = 223).

The spelling of 10424224 in words is "ten million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 188 232 239 376 464 478 752 928 956 1363 1504 1912 2726 3824 5452 6931 7648 10904 11233 13862 21808 22466 27724 43616 44932 55448 89864 110896 179728 221792 325757 359456 651514 1303028 2606056 5212112 10424224