Search a number
-
+
41222412 = 22337114957
BaseRepresentation
bin1001110101000…
…0000100001100
32212120022112000
42131100010030
541023104122
64031312300
71010245650
oct235200414
985508460
1041222412
11212a6010
121197b690
13870407a
145690a60
1539440ac
hex275010c

41222412 has 96 divisors (see below), whose sum is σ = 133271040. Its totient is φ = 10704960.

The previous prime is 41222347. The next prime is 41222429. The reversal of 41222412 is 21422214.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5838 + ... + 10794.

It is an arithmetic number, because the mean of its divisors is an integer number (1388240).

Almost surely, 241222412 is an apocalyptic number.

41222412 is a gapful number since it is divisible by the number (42) 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 41222412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66635520).

41222412 is an abundant number, since it is smaller than the sum of its proper divisors (92048628).

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

41222412 is a wasteful number, since it uses less digits than its factorization.

41222412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4980 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 41222412 is about 6420.4682072260. The cubic root of 41222412 is about 345.4441161378. Note that the first 3 decimals are identical.

Adding to 41222412 its reverse (21422214), we get a palindrome (62644626).

The spelling of 41222412 in words is "forty-one million, two hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 4957 8316 9914 14871 19828 29742 34699 44613 54527 59484 69398 89226 104097 109054 133839 138796 163581 178452 208194 218108 267678 312291 327162 381689 416388 490743 535356 624582 654324 763378 936873 981486 1145067 1249164 1472229 1526756 1873746 1962972 2290134 2944458 3435201 3747492 4580268 5888916 6870402 10305603 13740804 20611206 41222412