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1000224414 = 232723345143
BaseRepresentation
bin111011100111100…
…011011010011110
32120201002122221200
4323213203122132
54022024140124
6243130140330
733533524110
oct7347433236
92521078850
101000224414
11473667452
1223ab816a6
1312c2b8387
1496ba93b0
155cc27bc9
hex3b9e369e

1000224414 has 48 divisors (see below), whose sum is σ = 2584438272. Its totient is φ = 273352464.

The previous prime is 1000224409. The next prime is 1000224473. The reversal of 1000224414 is 4144220001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 169674 + ... + 175469.

It is an arithmetic number, because the mean of its divisors is an integer number (53842464).

Almost surely, 21000224414 is an apocalyptic number.

1000224414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1000224414 is an abundant number, since it is smaller than the sum of its proper divisors (1584213858).

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

1000224414 is a wasteful number, since it uses less digits than its factorization.

1000224414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345181 (or 345178 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1000224414 is about 31626.3246995284. The cubic root of 1000224414 is about 1000.0747990716.

Adding to 1000224414 its reverse (4144220001), we get a palindrome (5144444415).

The spelling of 1000224414 in words is "one billion, two hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 345143 690286 1035429 2070858 2416001 3106287 4832002 6212574 7248003 7938289 14496006 15876578 21744009 23814867 43488018 47629734 55568023 71444601 111136046 142889202 166704069 333408138 500112207 1000224414