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1344222500 = 22542918541
BaseRepresentation
bin101000000011111…
…0011010100100100
310110200101120121112
41100013303110210
510223110110000
6341215204152
745211463015
oct12007632444
93420346545
101344222500
1162a862295
12316216658
1318564c73a
14ca75300c
157d028235
hex501f3524

1344222500 has 60 divisors (see below), whose sum is σ = 3041073420. Its totient is φ = 519120000.

The previous prime is 1344222463. The next prime is 1344222559. The reversal of 1344222500 is 52224431.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1036711204 + 307511296 = 32198^2 + 17536^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 63230 + ... + 81770.

It is an arithmetic number, because the mean of its divisors is an integer number (50684557).

Almost surely, 21344222500 is an apocalyptic number.

1344222500 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 1344222500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520536710).

1344222500 is an abundant number, since it is smaller than the sum of its proper divisors (1696850920).

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

1344222500 is a wasteful number, since it uses less digits than its factorization.

1344222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18594 (or 18577 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1344222500 is about 36663.6400265986. The cubic root of 1344222500 is about 1103.6305660641.

Adding to 1344222500 its reverse (52224431), we get a palindrome (1396446931).

The spelling of 1344222500 in words is "one billion, three hundred forty-four million, two hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 625 725 1250 1450 2500 2900 3625 7250 14500 18125 18541 36250 37082 72500 74164 92705 185410 370820 463525 537689 927050 1075378 1854100 2150756 2317625 2688445 4635250 5376890 9270500 10753780 11588125 13442225 23176250 26884450 46352500 53768900 67211125 134422250 268844500 336055625 672111250 1344222500