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2211282680 = 23579838431
BaseRepresentation
bin1000001111001101…
…0111111011111000
312201002220210120112
42003303113323320
514012042021210
61003231243452
7105540410165
oct20363277370
95632823515
102211282680
11a35236452
12518679588
13293181cb9
1416d97706c
15ce1e9d05
hex83cd7ef8

2211282680 has 64 divisors (see below), whose sum is σ = 5099673600. Its totient is φ = 862692480.

The previous prime is 2211282679. The next prime is 2211282707. The reversal of 2211282680 is 862821122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258065 + ... + 266495.

It is an arithmetic number, because the mean of its divisors is an integer number (79682400).

Almost surely, 22211282680 is an apocalyptic number.

2211282680 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 2211282680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549836800).

2211282680 is an abundant number, since it is smaller than the sum of its proper divisors (2888390920).

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

2211282680 is a wasteful number, since it uses less digits than its factorization.

2211282680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604 (or 8600 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 2211282680 is about 47024.2775595755. The cubic root of 2211282680 is about 1302.8110139586.

The spelling of 2211282680 in words is "two billion, two hundred eleven million, two hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 79 83 158 166 316 332 395 415 632 664 790 830 1580 1660 3160 3320 6557 8431 13114 16862 26228 32785 33724 42155 52456 65570 67448 84310 131140 168620 262280 337240 666049 699773 1332098 1399546 2664196 2799092 3330245 3498865 5328392 5598184 6660490 6997730 13320980 13995460 26641960 27990920 55282067 110564134 221128268 276410335 442256536 552820670 1105641340 2211282680