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22444240420 = 22572367310357
BaseRepresentation
bin10100111001110001…
…111110111000100100
32010221011210112202201
4110321301332320210
5331431211143140
614151041544244
71423121616160
oct247161767044
963834715681
1022444240420
119578209028
124424645084
132168bb3244
14112cb7dca0
158b563049a
hex539c7ee24

22444240420 has 96 divisors (see below), whose sum is σ = 56297138688. Its totient is φ = 7348948992.

The previous prime is 22444240417. The next prime is 22444240433. The reversal of 22444240420 is 2404244422.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 2161882 + ... + 2172238.

It is an arithmetic number, because the mean of its divisors is an integer number (586428528).

Almost surely, 222444240420 is an apocalyptic number.

22444240420 is a gapful number since it is divisible by the number (20) 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 22444240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28148569344).

22444240420 is an abundant number, since it is smaller than the sum of its proper divisors (33852898268).

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

22444240420 is a wasteful number, since it uses less digits than its factorization.

22444240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11069 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 22444240420 its reverse (2404244422), we get a palindrome (24848484842).

The spelling of 22444240420 in words is "twenty-two billion, four hundred forty-four million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 673 805 1346 1610 2692 3220 3365 4711 6730 9422 10357 13460 15479 18844 20714 23555 30958 41428 47110 51785 61916 72499 77395 94220 103570 108353 144998 154790 207140 216706 238211 289996 309580 362495 433412 476422 541765 724990 952844 1083530 1191055 1449980 1667477 2167060 2382110 3334954 4764220 6669908 6970261 8337385 13940522 16674770 27881044 33349540 34851305 48791827 69702610 97583654 139405220 160316003 195167308 243959135 320632006 487918270 641264012 801580015 975836540 1122212021 1603160030 2244424042 3206320060 4488848084 5611060105 11222120210 22444240420