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22689408 = 273723367
BaseRepresentation
bin101011010001…
…1011010000000
31120200202000110
41112203122000
521302030113
62130151320
7363566610
oct126433200
946622013
1022689408
1111897985
127722540
1349155b1
143028a40
151ed2bc3
hex15a3680

22689408 has 128 divisors (see below), whose sum is σ = 72069120. Its totient is φ = 6183936.

The previous prime is 22689389. The next prime is 22689409. The reversal of 22689408 is 80498622.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (22689409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61641 + ... + 62007.

It is an arithmetic number, because the mean of its divisors is an integer number (563040).

Almost surely, 222689408 is an apocalyptic number.

22689408 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 22689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36034560).

22689408 is an abundant number, since it is smaller than the sum of its proper divisors (49379712).

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

22689408 is a wasteful number, since it uses less digits than its factorization.

22689408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 22689408 is about 4763.3400046606. The cubic root of 22689408 is about 283.1007727955.

The spelling of 22689408 in words is "twenty-two million, six hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 367 368 384 448 483 552 644 672 734 736 896 966 1101 1104 1288 1344 1468 1472 1932 2202 2208 2569 2576 2688 2936 2944 3864 4404 4416 5138 5152 5872 7707 7728 8441 8808 8832 10276 10304 11744 15414 15456 16882 17616 20552 20608 23488 25323 30828 30912 33764 35232 41104 46976 50646 59087 61656 61824 67528 70464 82208 101292 118174 123312 135056 140928 164416 177261 202584 236348 246624 270112 328832 354522 405168 472696 493248 540224 709044 810336 945392 986496 1080448 1418088 1620672 1890784 2836176 3241344 3781568 5672352 7563136 11344704 22689408