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10205244 = 2233713499
BaseRepresentation
bin100110111011…
…100000111100
3201012110222000
4212323200330
510103031434
61002422300
7152512620
oct46734074
921173860
1010205244
115840395
123501990
13216410a
1414d9180
15d68b99
hex9bb83c

10205244 has 48 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 2915568.

The previous prime is 10205243. The next prime is 10205257. The reversal of 10205244 is 44250201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5994 + ... + 7505.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 210205244 is an apocalyptic number.

10205244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10205244 is an abundant number, since it is smaller than the sum of its proper divisors (20034756).

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

10205244 is a wasteful number, since it uses less digits than its factorization.

10205244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13519 (or 13511 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10205244 is about 3194.5647590869. The cubic root of 10205244 is about 216.9074477718.

Adding to 10205244 its reverse (44250201), we get a palindrome (54455445).

The spelling of 10205244 in words is "ten million, two hundred five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 13499 26998 40497 53996 80994 94493 121491 161988 188986 242982 283479 364473 377972 485964 566958 728946 850437 1133916 1457892 1700874 2551311 3401748 5102622 10205244