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10223232 = 27379337
BaseRepresentation
bin100110111111…
…111010000000
3201020101122020
4212333322000
510104120412
61003041440
7152616225
oct46777200
921211566
1010223232
115852958
123510280
13216c366
14150194c
15d6e18c
hex9bfe80

10223232 has 64 divisors (see below), whose sum is σ = 27580800. Its totient is φ = 3354624.

The previous prime is 10223231. The next prime is 10223237. The reversal of 10223232 is 23232201.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10223231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30168 + ... + 30504.

It is an arithmetic number, because the mean of its divisors is an integer number (430950).

Almost surely, 210223232 is an apocalyptic number.

10223232 is a gapful number since it is divisible by the number (12) 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 10223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13790400).

10223232 is an abundant number, since it is smaller than the sum of its proper divisors (17357568).

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

10223232 is an equidigital number, since it uses as much as digits as its factorization.

10223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 10223232 is about 3197.3789265584. The cubic root of 10223232 is about 217.0348150020.

Adding to 10223232 its reverse (23232201), we get a palindrome (33455433).

The spelling of 10223232 in words is "ten million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 337 384 474 632 674 948 1011 1264 1348 1896 2022 2528 2696 3792 4044 5056 5392 7584 8088 10112 10784 15168 16176 21568 26623 30336 32352 43136 53246 64704 79869 106492 129408 159738 212984 319476 425968 638952 851936 1277904 1703872 2555808 3407744 5111616 10223232