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10223424 = 263217749
BaseRepresentation
bin100110111111…
…111101000000
3201020101220100
4212333331000
510104122144
61003042400
7152616621
oct46777500
921211810
1010223424
115853012
123510400
13216c483
141501a48
15d6e269
hex9bff40

10223424 has 42 divisors (see below), whose sum is σ = 29305250. Its totient is φ = 3407616.

The previous prime is 10223413. The next prime is 10223441. The reversal of 10223424 is 42432201.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 3873024 = 2520^2 + 1968^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10223397 and 10223406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8299 + ... + 9450.

Almost surely, 210223424 is an apocalyptic number.

It is an amenable number.

10223424 is an abundant number, since it is smaller than the sum of its proper divisors (19081826).

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

10223424 is a wasteful number, since it uses less digits than its factorization.

10223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17767 (or 17754 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10223424 is about 3197.4089510102. The cubic root of 10223424 is about 217.0361736860.

Adding to 10223424 its reverse (42432201), we get a palindrome (52655625).

The spelling of 10223424 in words is "ten million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 17749 35498 53247 70996 106494 141992 159741 212988 283984 319482 425976 567968 638964 851952 1135936 1277928 1703904 2555856 3407808 5111712 10223424