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2212213120 = 27513265891
BaseRepresentation
bin1000001111011011…
…1011000110000000
312201011200001220021
42003312323012000
514012311304440
61003303223224
7105551333635
oct20366730600
95634601807
102212213120
11a35811507
12518a47b14
13293419660
1416db3a18c
15ce33084a
hex83dbb180

2212213120 has 64 divisors (see below), whose sum is σ = 5695406640. Its totient is φ = 816814080.

The previous prime is 2212213099. The next prime is 2212213139. The reversal of 2212213120 is 213122122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 2212213094 and 2212213103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124626 + ... + 141265.

Almost surely, 22212213120 is an apocalyptic number.

2212213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212213120 is an abundant number, since it is smaller than the sum of its proper divisors (3483193520).

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

2212213120 is a wasteful number, since it uses less digits than its factorization.

2212213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265923 (or 265911 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2212213120 is about 47034.1697067143. The cubic root of 2212213120 is about 1302.9937159884.

Adding to 2212213120 its reverse (213122122), we get a palindrome (2425335242).

The spelling of 2212213120 in words is "two billion, two hundred twelve million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 265891 531782 1063564 1329455 2127128 2658910 3456583 4254256 5317820 6913166 8508512 10635640 13826332 17017024 17282915 21271280 27652664 34034048 34565830 42542560 55305328 69131660 85085120 110610656 138263320 170170240 221221312 276526640 442442624 553053280 1106106560 2212213120