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12223045410 = 2354340123629
BaseRepresentation
bin10110110001000110…
…01101111100100010
31011112211211001010120
423120203031330202
5200013044423120
65340514141110
7611620112622
oct133043157442
934484731116
1012223045410
115202654a24
122451581796
1311ca42a464
1483d4bc882
154b812d140
hex2d88cdf22

12223045410 has 64 divisors (see below), whose sum is σ = 30093655680. Its totient is φ = 3175603200.

The previous prime is 12223045361. The next prime is 12223045487. The reversal of 12223045410 is 1454032221.

12223045410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505476 + ... + 529104.

It is an arithmetic number, because the mean of its divisors is an integer number (470213370).

Almost surely, 212223045410 is an apocalyptic number.

12223045410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223045410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046827840).

12223045410 is an abundant number, since it is smaller than the sum of its proper divisors (17870610270).

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

12223045410 is a wasteful number, since it uses less digits than its factorization.

12223045410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24083.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12223045410 its reverse (1454032221), we get a palindrome (13677077631).

The spelling of 12223045410 in words is "twelve billion, two hundred twenty-three million, forty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 401 430 645 802 1203 1290 2005 2406 4010 6015 12030 17243 23629 34486 47258 51729 70887 86215 103458 118145 141774 172430 236290 258645 354435 517290 708870 1016047 2032094 3048141 5080235 6096282 9475229 10160470 15240705 18950458 28425687 30481410 47376145 56851374 94752290 142128435 284256870 407434847 814869694 1222304541 2037174235 2444609082 4074348470 6111522705 12223045410