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2213248268 = 227211293323
BaseRepresentation
bin1000001111101011…
…0111110100001100
312201020121122212002
42003322313310030
514013042421033
61003341331432
7105563204600
oct20372676414
95636548762
102213248268
11a36359200
12519266b78
132936bc87a
1416dd29500
15ce4873e8
hex83eb7d0c

2213248268 has 54 divisors (see below), whose sum is σ = 4952424708. Its totient is φ = 862295280.

The previous prime is 2213248259. The next prime is 2213248327. The reversal of 2213248268 is 8628423122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22946 + ... + 70377.

Almost surely, 22213248268 is an apocalyptic number.

2213248268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2213248268 is an abundant number, since it is smaller than the sum of its proper divisors (2739176440).

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

2213248268 is a wasteful number, since it uses less digits than its factorization.

2213248268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93363 (or 93343 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 2213248268 is about 47045.1726322691. The cubic root of 2213248268 is about 1303.1969183840.

The spelling of 2213248268 in words is "two billion, two hundred thirteen million, two hundred forty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 5929 11858 23716 93323 186646 373292 653261 1026553 1306522 2053106 2613044 4106212 4572827 7185871 9145654 11292083 14371742 18291308 22584166 28743484 45168332 50301097 79044581 100602194 158089162 201204388 316178324 553312067 1106624134 2213248268