[go: up one dir, main page]

Search a number
-
+
10224110 = 2513314359
BaseRepresentation
bin100111000000…
…000111101110
3201020102211202
4213000013232
510104132420
61003045502
7152621621
oct47000756
921212752
1010224110
115853586
123510892
13216c890
141501db8
15d6e575
hex9c01ee

10224110 has 64 divisors (see below), whose sum is σ = 21288960. Its totient is φ = 3507840.

The previous prime is 10224107. The next prime is 10224119. The reversal of 10224110 is 1142201.

It is a junction number, because it is equal to n+sod(n) for n = 10224091 and 10224100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224119) 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 31 ways as a sum of consecutive naturals, for example, 173261 + ... + 173319.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 210224110 is an apocalyptic number.

10224110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10224110 is an abundant number, since it is smaller than the sum of its proper divisors (11064850).

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

10224110 is a wasteful number, since it uses less digits than its factorization.

10224110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10224110 is about 3197.5162235710. The cubic root of 10224110 is about 217.0410280115.

Adding to 10224110 its reverse (1142201), we get a palindrome (11366311).

The spelling of 10224110 in words is "ten million, two hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 5 10 13 26 31 43 59 62 65 86 118 130 155 215 295 310 403 430 559 590 767 806 1118 1333 1534 1829 2015 2537 2666 2795 3658 3835 4030 5074 5590 6665 7670 9145 12685 13330 17329 18290 23777 25370 32981 34658 47554 65962 78647 86645 118885 157294 164905 173290 237770 329810 393235 786470 1022411 2044822 5112055 10224110