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22412970 = 23351719257
BaseRepresentation
bin101010101111…
…1111010101010
31120011200211000
41111133322222
521214203340
62120215430
7361335636
oct125377252
946150730
1022412970
1111719218
12760a576
134849818
142d95dc6
151e7ad30
hex155feaa

22412970 has 128 divisors (see below), whose sum is σ = 66873600. Its totient is φ = 5308416.

The previous prime is 22412947. The next prime is 22412977. The reversal of 22412970 is 7921422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22412977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87082 + ... + 87338.

It is an arithmetic number, because the mean of its divisors is an integer number (522450).

Almost surely, 222412970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22412970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33436800).

22412970 is an abundant number, since it is smaller than the sum of its proper divisors (44460630).

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

22412970 is a wasteful number, since it uses less digits than its factorization.

22412970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 22412970 is about 4734.2338345291. The cubic root of 22412970 is about 281.9463456093.

The spelling of 22412970 in words is "twenty-two million, four hundred twelve thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 170 171 190 255 257 270 285 306 323 342 459 510 513 514 570 646 765 771 855 918 969 1026 1285 1530 1542 1615 1710 1938 2295 2313 2565 2570 2907 3230 3855 4369 4590 4626 4845 4883 5130 5814 6939 7710 8721 8738 9690 9766 11565 13107 13878 14535 14649 17442 21845 23130 24415 26214 29070 29298 34695 39321 43605 43690 43947 48830 65535 69390 73245 78642 83011 87210 87894 117963 131070 131841 146490 166022 196605 219735 235926 249033 263682 393210 415055 439470 498066 589815 659205 747099 830110 1179630 1245165 1318410 1494198 2241297 2490330 3735495 4482594 7470990 11206485 22412970