Search a number
-
+
22070107000 = 2353197112031
BaseRepresentation
bin10100100011011110…
…110001101101111000
32002222002210121012101
4110203132301231320
5330144421411000
614045554553144
71410626546164
oct244336615570
962862717171
1022070107000
1193a6000057
12433b2987b4
13210952a416
1410d51cdca4
1589287ae6a
hex5237b1b78

22070107000 has 64 divisors (see below), whose sum is σ = 51906666240. Its totient is φ = 8783152000.

The previous prime is 22070106991. The next prime is 22070107057. The reversal of 22070107000 is 70107022.

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 15 ways as a sum of consecutive naturals, for example, 140985 + ... + 253015.

It is an arithmetic number, because the mean of its divisors is an integer number (811041660).

Almost surely, 222070107000 is an apocalyptic number.

22070107000 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 22070107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25953333120).

22070107000 is an abundant number, since it is smaller than the sum of its proper divisors (29836559240).

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

22070107000 is a wasteful number, since it uses less digits than its factorization.

22070107000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112249 (or 112235 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The spelling of 22070107000 in words is "twenty-two billion, seventy million, one hundred seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 197 200 250 394 500 788 985 1000 1576 1970 3940 4925 7880 9850 19700 24625 39400 49250 98500 112031 197000 224062 448124 560155 896248 1120310 2240620 2800775 4481240 5601550 11203100 14003875 22070107 22406200 28007750 44140214 56015500 88280428 110350535 112031000 176560856 220701070 441402140 551752675 882804280 1103505350 2207010700 2758763375 4414021400 5517526750 11035053500 22070107000