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22210000000 = 27572221
BaseRepresentation
bin10100101011110100…
…011011010010000000
32010022212000220022121
4110223310123102000
5330441230000000
614111513214024
71414245612406
oct245364332200
963285026277
1022210000000
119467a69801
12437a101314
13212c4cab46
141109a07476
1589ecb0b1a
hex52bd1b480

22210000000 has 128 divisors (see below), whose sum is σ = 55332866160. Its totient is φ = 8880000000.

The previous prime is 22209999989. The next prime is 22210000009. The reversal of 22210000000 is 1222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19156774464 + 3053225536 = 138408^2 + 55256^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (22210000009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9998890 + ... + 10001110.

Almost surely, 222210000000 is an apocalyptic number.

22210000000 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 22210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27666433080).

22210000000 is an abundant number, since it is smaller than the sum of its proper divisors (33122866160).

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

22210000000 is an frugal number, since it uses more digits than its factorization.

22210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 22210000000 its reverse (1222), we get a palindrome (22210001222).

The spelling of 22210000000 in words is "twenty-two billion, two hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2221 2500 3125 3200 4000 4442 5000 6250 8000 8884 10000 11105 12500 15625 16000 17768 20000 22210 25000 31250 35536 40000 44420 50000 55525 62500 71072 78125 80000 88840 100000 111050 125000 142144 156250 177680 200000 222100 250000 277625 284288 312500 355360 400000 444200 500000 555250 625000 710720 888400 1000000 1110500 1250000 1388125 1421440 1776800 2000000 2221000 2500000 2776250 3553600 4442000 5000000 5552500 6940625 7107200 8884000 10000000 11105000 13881250 17768000 22210000 27762500 34703125 35536000 44420000 55525000 69406250 88840000 111050000 138812500 173515625 177680000 222100000 277625000 347031250 444200000 555250000 694062500 888400000 1110500000 1388125000 2221000000 2776250000 4442000000 5552500000 11105000000 22210000000