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2226021120 = 28325732647
BaseRepresentation
bin1000010010101110…
…0110001100000000
312202010122120220200
42010223212030000
514024330133440
61004515205200
7106106603331
oct20453461400
95663576820
102226021120
11a42592684
125215a6800
1329624257b
141718d2288
15d065bc30
hex84ae6300

2226021120 has 216 divisors, whose sum is σ = 7810254816. Its totient is φ = 585252864.

The previous prime is 2226021107. The next prime is 2226021137. The reversal of 2226021120 is 211206222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2226021093 and 2226021102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839637 + ... + 842283.

Almost surely, 22226021120 is an apocalyptic number.

2226021120 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 2226021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905127408).

2226021120 is an abundant number, since it is smaller than the sum of its proper divisors (5584233696).

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

2226021120 is a wasteful number, since it uses less digits than its factorization.

2226021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2226021120 is about 47180.7282690719. The cubic root of 2226021120 is about 1305.6990661565.

Adding to 2226021120 its reverse (211206222), we get a palindrome (2437227342).

The spelling of 2226021120 in words is "two billion, two hundred twenty-six million, twenty-one thousand, one hundred twenty".