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10223440 = 245472719
BaseRepresentation
bin100110111111…
…111101010000
3201020101220221
4212333331100
510104122230
61003042424
7152616643
oct46777520
921211827
1010223440
115853027
123510414
13216c496
141501a5a
15d6e27a
hex9bff50

10223440 has 40 divisors (see below), whose sum is σ = 24284160. Its totient is φ = 4000896.

The previous prime is 10223413. The next prime is 10223441. The reversal of 10223440 is 4432201.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2401 + ... + 5119.

It is an arithmetic number, because the mean of its divisors is an integer number (607104).

Almost surely, 210223440 is an apocalyptic number.

10223440 is a gapful number since it is divisible by the number (10) 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 10223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).

10223440 is an abundant number, since it is smaller than the sum of its proper divisors (14060720).

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

10223440 is a wasteful number, since it uses less digits than its factorization.

10223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2773 counting only the distinct ones).

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

The square root of 10223440 is about 3197.4114530351. The cubic root of 10223440 is about 217.0362869089.

Adding to 10223440 its reverse (4432201), we get a palindrome (14655641).

The spelling of 10223440 in words is "ten million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 2719 3760 5438 10876 13595 21752 27190 43504 54380 108760 127793 217520 255586 511172 638965 1022344 1277930 2044688 2555860 5111720 10223440