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41223400 = 2352533889
BaseRepresentation
bin1001110101000…
…0010011101000
32212120100212121
42131100103220
541023122100
64031321024
71010251561
oct235202350
985510777
1041223400
11212a6829
1211980174
13870465a
145691168
15394451a
hex27504e8

41223400 has 48 divisors (see below), whose sum is σ = 97677900. Its totient is φ = 16174080.

The previous prime is 41223389. The next prime is 41223421. The reversal of 41223400 is 432214.

It can be written as a sum of positive squares in 6 ways, for example, as 24265476 + 16957924 = 4926^2 + 4118^2 .

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 11 ways as a sum of consecutive naturals, for example, 8656 + ... + 12544.

Almost surely, 241223400 is an apocalyptic number.

41223400 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 41223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48838950).

41223400 is an abundant number, since it is smaller than the sum of its proper divisors (56454500).

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

41223400 is a wasteful number, since it uses less digits than its factorization.

41223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 41223400 is about 6420.5451481942. The cubic root of 41223400 is about 345.4468759315.

Adding to 41223400 its reverse (432214), we get a palindrome (41655614).

The spelling of 41223400 in words is "forty-one million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 3889 5300 7778 10600 15556 19445 31112 38890 77780 97225 155560 194450 206117 388900 412234 777800 824468 1030585 1648936 2061170 4122340 5152925 8244680 10305850 20611700 41223400