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10223343340 = 2257252120023
BaseRepresentation
bin10011000010101101…
…11101011011101100
3222101111000122120221
421201112331123230
5131414133441330
64410241421124
7511225661500
oct114126753354
928344018527
1010223343340
1143768a1191
121b9393a7a4
13c6c0588b2
146cdaa0300
153ec7c8b7a
hex2615bd6ec

10223343340 has 72 divisors (see below), whose sum is σ = 25023352032. Its totient is φ = 3498243840.

The previous prime is 10223343331. The next prime is 10223343343. The reversal of 10223343340 is 4334332201.

It is not an unprimeable number, because it can be changed into a prime (10223343343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500569 + ... + 520591.

It is an arithmetic number, because the mean of its divisors is an integer number (347546556).

Almost surely, 210223343340 is an apocalyptic number.

10223343340 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 10223343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511676016).

10223343340 is an abundant number, since it is smaller than the sum of its proper divisors (14800008692).

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

10223343340 is a wasteful number, since it uses less digits than its factorization.

10223343340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20567 (or 20558 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 10223343340 its reverse (4334332201), we get a palindrome (14557675541).

The spelling of 10223343340 in words is "ten billion, two hundred twenty-three million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 521 980 1042 2084 2605 3647 5210 7294 10420 14588 18235 20023 25529 36470 40046 51058 72940 80092 100115 102116 127645 140161 200230 255290 280322 400460 510580 560644 700805 981127 1401610 1962254 2803220 3924508 4905635 9811270 10431983 19622540 20863966 41727932 52159915 73023881 104319830 146047762 208639660 292095524 365119405 511167167 730238810 1022334334 1460477620 2044668668 2555835835 5111671670 10223343340