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41222580 = 22357611609
BaseRepresentation
bin1001110101000…
…0000110110100
32212120022202020
42131100012310
541023110310
64031313140
71010246310
oct235200664
985508666
1041222580
11212a6153
121197b7b0
138704179
145690b40
153944170
hex27501b4

41222580 has 96 divisors (see below), whose sum is σ = 134158080. Its totient is φ = 9262080.

The previous prime is 41222567. The next prime is 41222617. The reversal of 41222580 is 8522214.

41222580 = T455 + T456 + ... + T698.

It is a super-2 number, since 2×412225802 = 3398602203712800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41222580.

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 31 ways as a sum of consecutive naturals, for example, 24816 + ... + 26424.

It is an arithmetic number, because the mean of its divisors is an integer number (1397480).

Almost surely, 241222580 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 41222580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67079040).

41222580 is an abundant number, since it is smaller than the sum of its proper divisors (92935500).

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

41222580 is a wasteful number, since it uses less digits than its factorization.

41222580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 41222580 is about 6420.4812903707. The cubic root of 41222580 is about 345.4445854175. Note that the first 3 decimals are identical.

Adding to 41222580 its reverse (8522214), we get a palindrome (49744794).

The spelling of 41222580 in words is "forty-one million, two hundred twenty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1609 1708 1830 2135 2562 3218 3660 4270 4827 5124 6405 6436 8045 8540 9654 11263 12810 16090 19308 22526 24135 25620 32180 33789 45052 48270 56315 67578 96540 98149 112630 135156 168945 196298 225260 294447 337890 392596 490745 588894 675780 687043 981490 1177788 1374086 1472235 1962980 2061129 2748172 2944470 3435215 4122258 5888940 6870430 8244516 10305645 13740860 20611290 41222580