Search a number
-
+
41223000 = 23353713151
BaseRepresentation
bin1001110101000…
…0001101011000
32212120100022210
42131100031120
541023114000
64031315120
71010250450
oct235201530
985510283
1041223000
11212a64a5
121197baa0
138704410
145690d60
153944350
hex2750358

41223000 has 256 divisors, whose sum is σ = 159344640. Its totient is φ = 8640000.

The previous prime is 41222971. The next prime is 41223001. The reversal of 41223000 is 32214.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41223001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 272925 + ... + 273075.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 241223000 is an apocalyptic number.

41223000 is a gapful number since it is divisible by the number (40) 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 41223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

41223000 is an abundant number, since it is smaller than the sum of its proper divisors (118121640).

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

41223000 is a wasteful number, since it uses less digits than its factorization.

41223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 41223000 is about 6420.5139981157. The cubic root of 41223000 is about 345.4457586114.

Adding to 41223000 its reverse (32214), we get a palindrome (41255214).

The spelling of 41223000 in words is "forty-one million, two hundred twenty-three thousand".