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1444223400 = 233529292591
BaseRepresentation
bin101011000010101…
…0001100110101000
310201122120011001120
41112011101212220
510424210122100
6355150415240
750534460564
oct12605214650
93648504046
101444223400
11681254464
12343801520
131a0293779
14d9b446a4
1586bcd0a0
hex561519a8

1444223400 has 96 divisors (see below), whose sum is σ = 4483641600. Its totient is φ = 384563200.

The previous prime is 1444223393. The next prime is 1444223419. The reversal of 1444223400 is 43224441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 556105 + ... + 558695.

It is an arithmetic number, because the mean of its divisors is an integer number (46704600).

Almost surely, 21444223400 is an apocalyptic number.

1444223400 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 1444223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241820800).

1444223400 is an abundant number, since it is smaller than the sum of its proper divisors (3039418200).

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

1444223400 is a wasteful number, since it uses less digits than its factorization.

1444223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1444223400 is about 38002.9393600021. The cubic root of 1444223400 is about 1130.3461492080.

Adding to 1444223400 its reverse (43224441), we get a palindrome (1487447841).

The spelling of 1444223400 in words is "one billion, four hundred forty-four million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 929 1858 2591 2787 3716 4645 5182 5574 7432 7773 9290 10364 11148 12955 13935 15546 18580 20728 22296 23225 25910 27870 31092 37160 38865 46450 51820 55740 62184 64775 69675 77730 92900 103640 111480 129550 139350 155460 185800 194325 259100 278700 310920 388650 518200 557400 777300 1554600 2407039 4814078 7221117 9628156 12035195 14442234 19256312 24070390 28884468 36105585 48140780 57768936 60175975 72211170 96281560 120351950 144422340 180527925 240703900 288844680 361055850 481407800 722111700 1444223400