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10430224 = 247234049
BaseRepresentation
bin100111110010…
…011100010000
3201121220120121
4213302130100
510132231344
61011320024
7154440550
oct47623420
921556517
1010430224
115984422
1235b0014
13221263c
141557160
15db0684
hex9f2710

10430224 has 40 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 4274688.

The previous prime is 10430219. The next prime is 10430237. The reversal of 10430224 is 42203401.

It is a super-4 number, since 4×104302244 (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10430198 and 10430207.

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 7 ways as a sum of consecutive naturals, for example, 552 + ... + 4600.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 210430224 is an apocalyptic number.

10430224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

10430224 is an abundant number, since it is smaller than the sum of its proper divisors (13675376).

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

10430224 is a wasteful number, since it uses less digits than its factorization.

10430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 10430224 is about 3229.5857319477. The cubic root of 10430224 is about 218.4898224815.

Adding to 10430224 its reverse (42203401), we get a palindrome (52633625).

The spelling of 10430224 in words is "ten million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 4049 8098 16196 28343 32392 56686 64784 93127 113372 186254 226744 372508 453488 651889 745016 1303778 1490032 2607556 5215112 10430224