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22144668 = 22372132897
BaseRepresentation
bin101010001111…
…0011010011100
31112200001202220
41110132122130
521132112133
62110345340
7356140500
oct124363234
945601686
1022144668
1111555687
1274bb250
134784670
142d26300
151e265b3
hex151e69c

22144668 has 72 divisors (see below), whose sum is σ = 64752912. Its totient is φ = 5838336.

The previous prime is 22144657. The next prime is 22144679. The reversal of 22144668 is 86644122.

It is an interprime number because it is at equal distance from previous prime (22144657) and next prime (22144679).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6196 + ... + 9092.

It is an arithmetic number, because the mean of its divisors is an integer number (899346).

Almost surely, 222144668 is an apocalyptic number.

22144668 is a gapful number since it is divisible by the number (28) 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 22144668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32376456).

22144668 is an abundant number, since it is smaller than the sum of its proper divisors (42608244).

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

22144668 is a wasteful number, since it uses less digits than its factorization.

22144668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2922 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 22144668 is about 4705.8121509470. The cubic root of 22144668 is about 280.8167817342.

The spelling of 22144668 in words is "twenty-two million, one hundred forty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 2897 3822 5794 7644 8691 11588 17382 20279 34764 37661 40558 60837 75322 81116 112983 121674 141953 150644 225966 243348 263627 283906 425859 451932 527254 567812 790881 851718 1054508 1581762 1703436 1845389 3163524 3690778 5536167 7381556 11072334 22144668