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21994368 = 2731141127
BaseRepresentation
bin101001111100…
…1101110000000
31112101102121020
41103321232000
521112304433
62103225440
7354643344
oct123715600
945342536
1021994368
1111462770
127448280
134731126
142cc7624
151de6cb3
hex14f9b80

21994368 has 128 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 6451200.

The previous prime is 21994367. The next prime is 21994369. The reversal of 21994368 is 86349912.

It is an interprime number because it is at equal distance from previous prime (21994367) and next prime (21994369).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21994363) 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, 173121 + ... + 173247.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 221994368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

21994368 is an abundant number, since it is smaller than the sum of its proper divisors (43807872).

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

21994368 is a wasteful number, since it uses less digits than its factorization.

21994368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 21994368 is about 4689.8153481774. The cubic root of 21994368 is about 280.1800202892.

The spelling of 21994368 in words is "twenty-one million, nine hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 127 128 132 164 176 192 246 254 264 328 352 381 384 451 492 508 528 656 704 762 902 984 1016 1056 1312 1353 1397 1408 1524 1804 1968 2032 2112 2624 2706 2794 3048 3608 3936 4064 4191 4224 5207 5248 5412 5588 6096 7216 7872 8128 8382 10414 10824 11176 12192 14432 15621 15744 16256 16764 20828 21648 22352 24384 28864 31242 33528 41656 43296 44704 48768 57277 57728 62484 67056 83312 86592 89408 114554 124968 134112 166624 171831 173184 178816 229108 249936 268224 333248 343662 458216 499872 536448 666496 687324 916432 999744 1374648 1832864 1999488 2749296 3665728 5498592 7331456 10997184 21994368