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22220222200000 = 26551121019091
BaseRepresentation
bin1010000110101100011000…
…11100110111100011000000
32220200020021111020020110121
411003112030130313203000
510403024003340400000
6115131455033110024
74452233551236166
oct503261434674300
986606244206417
1022220222200000
1170975a8174200
1225aa517558314
13c5248659ca96
1456b6707d5236
15287eeb7e5b1a
hex14358c7378c0

22220222200000 has 504 divisors, whose sum is σ = 61185314920464. Its totient is φ = 7999200000000.

The previous prime is 22220222199979. The next prime is 22220222200003. The reversal of 22220222200000 is 222202222.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (22220222200003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2444195455 + ... + 2444204545.

It is an arithmetic number, because the mean of its divisors is an integer number (121399434366).

Almost surely, 222220222200000 is an apocalyptic number.

22220222200000 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 22220222200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30592657460232).

22220222200000 is an abundant number, since it is smaller than the sum of its proper divisors (38965092720464).

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

22220222200000 is an equidigital number, since it uses as much as digits as its factorization.

22220222200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9251 (or 9210 counting only the distinct ones).

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

Adding to 22220222200000 its reverse (222202222), we get a palindrome (22220444402222).

22220222200000 divided by its reverse (222202222) gives a 5-th power (100000 = 105).

It can be divided in two parts, 22220 and 222200000, that multiplied together give a square (4937284000000 = 22220002).

The spelling of 22220222200000 in words is "twenty-two trillion, two hundred twenty billion, two hundred twenty-two million, two hundred thousand".