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41224300 = 225213191669
BaseRepresentation
bin1001110101000…
…0100001101100
32212120102002221
42131100201230
541023134200
64031325124
71010254315
oct235204154
985512087
1041224300
11212a7477
12119807a4
138704ba0
14569160c
15394491a
hex275086c

41224300 has 72 divisors (see below), whose sum is σ = 101469200. Its totient is φ = 14411520.

The previous prime is 41224297. The next prime is 41224367. The reversal of 41224300 is 342214.

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 23 ways as a sum of consecutive naturals, for example, 23866 + ... + 25534.

Almost surely, 241224300 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 41224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50734600).

41224300 is an abundant number, since it is smaller than the sum of its proper divisors (60244900).

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

41224300 is a wasteful number, since it uses less digits than its factorization.

41224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1708 counting only the distinct ones).

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

The square root of 41224300 is about 6420.6152353182. The cubic root of 41224300 is about 345.4493898752.

Adding to 41224300 its reverse (342214), we get a palindrome (41566514).

The spelling of 41224300 in words is "forty-one million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1669 1900 2470 3338 4940 6175 6676 8345 12350 16690 21697 24700 31711 33380 41725 43394 63422 83450 86788 108485 126844 158555 166900 216970 317110 412243 433940 542425 634220 792775 824486 1084850 1585550 1648972 2061215 2169700 3171100 4122430 8244860 10306075 20612150 41224300