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41222340 = 223252953149
BaseRepresentation
bin1001110101000…
…0000011000100
32212120022102100
42131100003010
541023103330
64031312100
71010245515
oct235200304
985508370
1041222340
11212a5a55
121197b630
138704023
145690a0c
153944060
hex27500c4

41222340 has 144 divisors (see below), whose sum is σ = 132678000. Its totient is φ = 10343424.

The previous prime is 41222339. The next prime is 41222347. The reversal of 41222340 is 4322214.

It can be written as a sum of positive squares in 8 ways, for example, as 1077444 + 40144896 = 1038^2 + 6336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41222347) 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, 276586 + ... + 276734.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 241222340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41222340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66339000).

41222340 is an abundant number, since it is smaller than the sum of its proper divisors (91455660).

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

41222340 is a wasteful number, since it uses less digits than its factorization.

41222340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

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

The square root of 41222340 is about 6420.4626001558. The cubic root of 41222340 is about 345.4439150175.

Adding to 41222340 its reverse (4322214), we get a palindrome (45544554).

The spelling of 41222340 in words is "forty-one million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 53 58 60 87 90 106 116 145 149 159 174 180 212 261 265 290 298 318 348 435 447 477 522 530 580 596 636 745 795 870 894 954 1044 1060 1305 1341 1490 1537 1590 1740 1788 1908 2235 2385 2610 2682 2980 3074 3180 4321 4470 4611 4770 5220 5364 6148 6705 7685 7897 8642 8940 9222 9540 12963 13410 13833 15370 15794 17284 18444 21605 23055 23691 25926 26820 27666 30740 31588 38889 39485 43210 46110 47382 51852 55332 64815 69165 71073 77778 78970 86420 92220 94764 118455 129630 138330 142146 155556 157940 194445 229013 236910 259260 276660 284292 355365 388890 458026 473820 687039 710730 777780 916052 1145065 1374078 1421460 2061117 2290130 2748156 3435195 4122234 4580260 6870390 8244468 10305585 13740780 20611170 41222340