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2268998622 = 2331123166081
BaseRepresentation
bin1000011100111110…
…0010101111011110
312212010112001222000
42013033202233132
514121330423442
61013052303130
7110141112222
oct20717425736
95763461860
102268998622
11a64877280
12533a71aa6
132a210c447
141774bc782
15d42ead4c
hex873e2bde

2268998622 has 64 divisors (see below), whose sum is σ = 5739793920. Its totient is φ = 657676800.

The previous prime is 2268998621. The next prime is 2268998623.

2268998622 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 9 + 9 + 8 + 622 = 666.

2268998622 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2268998621) and next prime (2268998623).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268998621) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 69379 + ... + 96702.

It is an arithmetic number, because the mean of its divisors is an integer number (89684280).

Almost surely, 22268998622 is an apocalyptic number.

2268998622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2268998622 is an abundant number, since it is smaller than the sum of its proper divisors (3470795298).

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

2268998622 is a wasteful number, since it uses less digits than its factorization.

2268998622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166126 (or 166120 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2268998622 is about 47634.0069908044. The cubic root of 2268998622 is about 1314.0485480697.

The spelling of 2268998622 in words is "two billion, two hundred sixty-eight million, nine hundred ninety-eight thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 166081 332162 498243 996486 1494729 1826891 2989458 3653782 3819863 4484187 5480673 7639726 8968374 10961346 11459589 16442019 22919178 32884038 34378767 42018493 49326057 68757534 84036986 98652114 103136301 126055479 206272602 252110958 378166437 756332874 1134499311 2268998622