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21226320 = 2433531317
BaseRepresentation
bin101000011111…
…0001101010000
31110221102001000
41100332031100
520413220240
62034542000
7345264213
oct120761520
943842030
1021226320
1110a88715
127137900
13452266b
142b6777a
151ce4430
hex143e350

21226320 has 160 divisors (see below), whose sum is σ = 75709440. Its totient is φ = 5460480.

The previous prime is 21226291. The next prime is 21226321. The reversal of 21226320 is 2362212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21226293 and 21226302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21226321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66802 + ... + 67118.

It is an arithmetic number, because the mean of its divisors is an integer number (473184).

Almost surely, 221226320 is an apocalyptic number.

21226320 is a gapful number since it is divisible by the number (20) 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 21226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37854720).

21226320 is an abundant number, since it is smaller than the sum of its proper divisors (54483120).

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

21226320 is a wasteful number, since it uses less digits than its factorization.

21226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21226320 is about 4607.2030560851. The cubic root of 21226320 is about 276.8799890226.

Adding to 21226320 its reverse (2362212), we get a palindrome (23588532).

The spelling of 21226320 in words is "twenty-one million, two hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 317 360 372 432 465 496 540 558 620 634 720 744 837 930 951 1080 1116 1240 1268 1395 1488 1585 1674 1860 1902 2160 2232 2480 2536 2790 2853 3170 3348 3720 3804 4185 4464 4755 5072 5580 5706 6340 6696 7440 7608 8370 8559 9510 9827 11160 11412 12680 13392 14265 15216 16740 17118 19020 19654 22320 22824 25360 28530 29481 33480 34236 38040 39308 42795 45648 49135 57060 58962 66960 68472 76080 78616 85590 88443 98270 114120 117924 136944 147405 157232 171180 176886 196540 228240 235848 265329 294810 342360 353772 393080 442215 471696 530658 589620 684720 707544 786160 884430 1061316 1179240 1326645 1415088 1768860 2122632 2358480 2653290 3537720 4245264 5306580 7075440 10613160 21226320