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22424200000 = 2655112121
BaseRepresentation
bin10100111000100101…
…100010001101000000
32010212210002101110221
4110320211202031000
5331411043400000
614145044232424
71422456361246
oct247045421500
963783071427
1022424200000
1195679703a4
12441999b714
1321649b75c7
14112a244796
158b39c261a
hex538962340

22424200000 has 84 divisors (see below), whose sum is σ = 55619463564. Its totient is φ = 8969600000.

The previous prime is 22424199997. The next prime is 22424200003. The reversal of 22424200000 is 242422.

It is an interprime number because it is at equal distance from previous prime (22424199997) and next prime (22424200003).

It can be written as a sum of positive squares in 6 ways, for example, as 21977469504 + 446730496 = 148248^2 + 21136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22424200003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 143940 + ... + 256060.

It is an arithmetic number, because the mean of its divisors is an integer number (662136471).

Almost surely, 222424200000 is an apocalyptic number.

22424200000 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 22424200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27809731782).

22424200000 is an abundant number, since it is smaller than the sum of its proper divisors (33195263564).

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

22424200000 is an frugal number, since it uses more digits than its factorization.

22424200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112158 (or 112128 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22424200000 its reverse (242422), we get a palindrome (22424442422).

The spelling of 22424200000 in words is "twenty-two billion, four hundred twenty-four million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 100000 112121 200000 224242 448484 560605 896968 1121210 1793936 2242420 2803025 3587872 4484840 5606050 7175744 8969680 11212100 14015125 17939360 22424200 28030250 35878720 44848400 56060500 70075625 89696800 112121000 140151250 179393600 224242000 280302500 350378125 448484000 560605000 700756250 896968000 1121210000 1401512500 2242420000 2803025000 4484840000 5606050000 11212100000 22424200000