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22063320 = 2333531659
BaseRepresentation
bin101010000101…
…0100011011000
31112111221012000
41110022203120
521122011240
62104521000
7355351356
oct124124330
945457160
1022063320
11114aa554
127480160
134756626
142d047d6
151e0c430
hex150a8d8

22063320 has 128 divisors (see below), whose sum is σ = 76032000. Its totient is φ = 5685120.

The previous prime is 22063291. The next prime is 22063337. The reversal of 22063320 is 2336022.

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 = 22063293 and 22063302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33151 + ... + 33809.

It is an arithmetic number, because the mean of its divisors is an integer number (594000).

Almost surely, 222063320 is an apocalyptic number.

22063320 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 22063320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38016000).

22063320 is an abundant number, since it is smaller than the sum of its proper divisors (53968680).

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

22063320 is a wasteful number, since it uses less digits than its factorization.

22063320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 22063320 is about 4697.1608445954. The cubic root of 22063320 is about 280.4725015223.

Adding to 22063320 its reverse (2336022), we get a palindrome (24399342).

The spelling of 22063320 in words is "twenty-two million, sixty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 659 744 837 930 1080 1116 1240 1318 1395 1674 1860 1977 2232 2636 2790 3295 3348 3720 3954 4185 5272 5580 5931 6590 6696 7908 8370 9885 11160 11862 13180 15816 16740 17793 19770 20429 23724 26360 29655 33480 35586 39540 40858 47448 59310 61287 71172 79080 81716 88965 102145 118620 122574 142344 163432 177930 183861 204290 237240 245148 306435 355860 367722 408580 490296 551583 612870 711720 735444 817160 919305 1103166 1225740 1470888 1838610 2206332 2451480 2757915 3677220 4412664 5515830 7354440 11031660 22063320