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22222210000 = 245419116959
BaseRepresentation
bin10100101100100011…
…000000001111010000
32010100201000020021211
4110230203000033100
5331002341210000
614113031025504
71414454445154
oct245443001720
963321006254
1022222210000
119473949311
12438220b294
132131bb45b3
14110b4a5064
158a0dc37ba
hex52c8c03d0

22222210000 has 100 divisors (see below), whose sum is σ = 56634371200. Its totient is φ = 8420976000.

The previous prime is 22222209979. The next prime is 22222210009. The reversal of 22222210000 is 1222222.

It is a tau number, because it is divible by the number of its divisors (100).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222210009) 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 19 ways as a sum of consecutive naturals, for example, 131521 + ... + 248479.

It is an arithmetic number, because the mean of its divisors is an integer number (566343712).

Almost surely, 222222210000 is an apocalyptic number.

22222210000 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 22222210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28317185600).

22222210000 is an abundant number, since it is smaller than the sum of its proper divisors (34412161200).

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

22222210000 is a wasteful number, since it uses less digits than its factorization.

22222210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117006 (or 116985 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22222210000 its reverse (1222222), we get a palindrome (22223432222).

The spelling of 22222210000 in words is "twenty-two billion, two hundred twenty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 625 760 950 1000 1250 1520 1900 2000 2375 2500 3800 4750 5000 7600 9500 10000 11875 19000 23750 38000 47500 95000 116959 190000 233918 467836 584795 935672 1169590 1871344 2222221 2339180 2923975 4444442 4678360 5847950 8888884 9356720 11111105 11695900 14619875 17777768 22222210 23391800 29239750 35555536 44444420 46783600 55555525 58479500 73099375 88888840 111111050 116959000 146198750 177777680 222222100 233918000 277777625 292397500 444444200 555555250 584795000 888888400 1111110500 1169590000 1388888125 2222221000 2777776250 4444442000 5555552500 11111105000 22222210000