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22211220000 = 25354438609
BaseRepresentation
bin10100101011111001…
…000101001000100000
32010022221022212211210
4110223321011020200
5330442033020000
614111555310120
71414262153304
oct245371051040
963287285753
1022211220000
119468722372
12437a5ab340
13212c837238
141109c43d04
1589ee52350
hex52be45220

22211220000 has 240 divisors, whose sum is σ = 74560258080. Its totient is φ = 5784576000.

The previous prime is 22211219971. The next prime is 22211220011. The reversal of 22211220000 is 2211222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2575696 + ... + 2584304.

It is an arithmetic number, because the mean of its divisors is an integer number (310667742).

Almost surely, 222211220000 is an apocalyptic number.

22211220000 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 22211220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37280129040).

22211220000 is an abundant number, since it is smaller than the sum of its proper divisors (52349038080).

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

22211220000 is an equidigital number, since it uses as much as digits as its factorization.

22211220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8685 (or 8662 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22211220000 its reverse (2211222), we get a palindrome (22213431222).

It can be divided in two parts, 2221 and 1220000, that added together give a palindrome (1222221).

The spelling of 22211220000 in words is "twenty-two billion, two hundred eleven million, two hundred twenty thousand".