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22309980 = 22357112439
BaseRepresentation
bin101010100011…
…0110001011100
31112222110112120
41111012301130
521202404410
62114102540
7360426450
oct125066134
945873476
1022309980
1111658900
12757aa50
134811994
142d6a660
151e5a570
hex1546c5c

22309980 has 144 divisors (see below), whose sum is σ = 78650880. Its totient is φ = 4625280.

The previous prime is 22309943. The next prime is 22310017. The reversal of 22309980 is 8990322.

It is an interprime number because it is at equal distance from previous prime (22309943) and next prime (22310017).

It is a super-3 number, since 3×223099803 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50601 + ... + 51039.

Almost surely, 222309980 is an apocalyptic number.

22309980 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 22309980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39325440).

22309980 is an abundant number, since it is smaller than the sum of its proper divisors (56340900).

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

22309980 is a wasteful number, since it uses less digits than its factorization.

22309980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 22309980 is about 4723.3441543042. The cubic root of 22309980 is about 281.5138245427.

The spelling of 22309980 in words is "twenty-two million, three hundred nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 439 462 484 605 660 726 770 847 878 924 1155 1210 1317 1452 1540 1694 1756 1815 2195 2310 2420 2541 2634 3073 3388 3630 4235 4390 4620 4829 5082 5268 6146 6585 7260 8470 8780 9219 9658 10164 12292 12705 13170 14487 15365 16940 18438 19316 24145 25410 26340 28974 30730 33803 36876 46095 48290 50820 53119 57948 61460 67606 72435 92190 96580 101409 106238 135212 144870 159357 169015 184380 202818 212476 265595 289740 318714 338030 371833 405636 507045 531190 637428 676060 743666 796785 1014090 1062380 1115499 1487332 1593570 1859165 2028180 2230998 3187140 3718330 4461996 5577495 7436660 11154990 22309980