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22241340 = 223251147239
BaseRepresentation
bin101010011011…
…0000000111100
31112211222101100
41110312000330
521143210330
62112413100
7360022362
oct124660074
945758340
1022241340
1111611280
127547190
1347b9674
142d4d632
151e45060
hex153603c

22241340 has 144 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 5255040.

The previous prime is 22241339. The next prime is 22241357. The reversal of 22241340 is 4314222.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 92941 + ... + 93179.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 222241340 is an apocalyptic number.

22241340 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 22241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

22241340 is an abundant number, since it is smaller than the sum of its proper divisors (53237700).

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

22241340 is a wasteful number, since it uses less digits than its factorization.

22241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22241340 is about 4716.0725185264. The cubic root of 22241340 is about 281.2248214497.

Adding to 22241340 its reverse (4314222), we get a palindrome (26555562).

The spelling of 22241340 in words is "twenty-two million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 239 282 330 396 423 470 478 495 517 564 660 705 717 846 940 956 990 1034 1195 1410 1434 1551 1692 1980 2068 2115 2151 2390 2585 2629 2820 2868 3102 3585 4230 4302 4653 4780 5170 5258 6204 7170 7755 7887 8460 8604 9306 10340 10516 10755 11233 13145 14340 15510 15774 18612 21510 22466 23265 23661 26290 31020 31548 33699 39435 43020 44932 46530 47322 52580 56165 67398 78870 93060 94644 101097 112330 118305 123563 134796 157740 168495 202194 224660 236610 247126 336990 370689 404388 473220 494252 505485 617815 673980 741378 1010970 1112067 1235630 1482756 1853445 2021940 2224134 2471260 3706890 4448268 5560335 7413780 11120670 22241340