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22221133220 = 2251113431011789
BaseRepresentation
bin10100101100011110…
…111001010110100100
32010100121222112020002
4110230132321112210
5331002102230340
614112552000432
71414442341646
oct245436712644
963317875202
1022221133220
119473283310
124381990118
1321318c8450
14110b2a4896
158a0c5e715
hex52c7b95a4

22221133220 has 192 divisors, whose sum is σ = 56684517120. Its totient is φ = 7209216000.

The previous prime is 22221133199. The next prime is 22221133237. The reversal of 22221133220 is 2233112222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22221133192 and 22221133201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12420086 + ... + 12421874.

It is an arithmetic number, because the mean of its divisors is an integer number (295231860).

Almost surely, 222221133220 is an apocalyptic number.

22221133220 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 22221133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28342258560).

22221133220 is an abundant number, since it is smaller than the sum of its proper divisors (34463383900).

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

22221133220 is a wasteful number, since it uses less digits than its factorization.

22221133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22221133220 its reverse (2233112222), we get a palindrome (24454245442).

The spelling of 22221133220 in words is "twenty-two billion, two hundred twenty-one million, one hundred thirty-three thousand, two hundred twenty".