Search a number
-
+
10223343440 = 245413116873
BaseRepresentation
bin10011000010101101…
…11101011101010000
3222101111000122201122
421201112331131100
5131414133442230
64410241421412
7511225662002
oct114126753520
928344018648
1010223343440
1143768a1272
121b9393a868
13c6c05895b
146cdaa0372
153ec7c8be5
hex2615bd750

10223343440 has 40 divisors (see below), whose sum is σ = 24349019688. Its totient is φ = 3989596160.

The previous prime is 10223343379. The next prime is 10223343443. The reversal of 10223343440 is 4434332201.

10223343440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12645136 + 10210698304 = 3556^2 + 101048^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223343443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1555157 + ... + 1561716.

Almost surely, 210223343440 is an apocalyptic number.

10223343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223343440 is an abundant number, since it is smaller than the sum of its proper divisors (14125676248).

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

10223343440 is a wasteful number, since it uses less digits than its factorization.

10223343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116927 (or 3116921 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 10223343440 its reverse (4434332201), we get a palindrome (14657675641).

The spelling of 10223343440 in words is "ten billion, two hundred twenty-three million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 3116873 6233746 12467492 15584365 24934984 31168730 49869968 62337460 124674920 127791793 249349840 255583586 511167172 638958965 1022334344 1277917930 2044668688 2555835860 5111671720 10223343440