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21221088 = 2537231373
BaseRepresentation
bin101000011110…
…0111011100000
31110221010212020
41100330323200
520413033323
62034501440
7345243030
oct120747340
943833766
1021221088
1110a84799
127134880
134520175
142b658c0
151ce2ae3
hex143cee0

21221088 has 96 divisors (see below), whose sum is σ = 66479616. Its totient is φ = 5795328.

The previous prime is 21221077. The next prime is 21221099. The reversal of 21221088 is 88012212.

It is an interprime number because it is at equal distance from previous prime (21221077) and next prime (21221099).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14770 + ... + 16142.

It is an arithmetic number, because the mean of its divisors is an integer number (692496).

Almost surely, 221221088 is an apocalyptic number.

21221088 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 21221088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33239808).

21221088 is an abundant number, since it is smaller than the sum of its proper divisors (45258528).

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

21221088 is a wasteful number, since it uses less digits than its factorization.

21221088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 21221088 is about 4606.6352145574. The cubic root of 21221088 is about 276.8572380992.

The spelling of 21221088 in words is "twenty-one million, two hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1373 1932 2208 2576 2746 3864 4119 5152 5492 7728 8238 9611 10984 15456 16476 19222 21968 28833 31579 32952 38444 43936 57666 63158 65904 76888 94737 115332 126316 131808 153776 189474 221053 230664 252632 307552 378948 442106 461328 505264 663159 757896 884212 922656 1010528 1326318 1515792 1768424 2652636 3031584 3536848 5305272 7073696 10610544 21221088