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22010940 = 223557647
BaseRepresentation
bin101001111110…
…1110000111100
31112102021100000
41103331300330
521113322230
62103434300
7355042560
oct123756074
945367300
1022010940
1111474166
127455990
134738833
142ccd6a0
151debb60
hex14fdc3c

22010940 has 144 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 5023296.

The previous prime is 22010927. The next prime is 22010941. The reversal of 22010940 is 4901022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33697 + ... + 34343.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 222010940 is an apocalyptic number.

22010940 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 22010940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

22010940 is an abundant number, since it is smaller than the sum of its proper divisors (57242052).

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

22010940 is a wasteful number, since it uses less digits than its factorization.

22010940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22010940 is about 4691.5818227971. The cubic root of 22010940 is about 280.2503712936.

Adding to 22010940 its reverse (4901022), we get a palindrome (26911962).

The spelling of 22010940 in words is "twenty-two million, ten thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 647 756 810 945 972 1134 1215 1260 1294 1620 1701 1890 1941 2268 2430 2588 2835 3235 3402 3780 3882 4529 4860 5670 5823 6470 6804 7764 8505 9058 9705 11340 11646 12940 13587 17010 17469 18116 19410 22645 23292 27174 29115 34020 34938 38820 40761 45290 52407 54348 58230 67935 69876 81522 87345 90580 104814 116460 122283 135870 157221 163044 174690 203805 209628 244566 262035 271740 314442 349380 366849 407610 489132 524070 611415 628884 733698 786105 815220 1048140 1100547 1222830 1467396 1572210 1834245 2201094 2445660 3144420 3668490 4402188 5502735 7336980 11005470 22010940