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10224942 = 2371361307
BaseRepresentation
bin100111000000…
…010100101110
3201020110222120
4213000110232
510104144232
61003053410
7152624220
oct47002456
921213876
1010224942
115854172
123511266
132170080
141502410
15d6e92c
hex9c052e

10224942 has 64 divisors (see below), whose sum is σ = 25665024. Its totient is φ = 2643840.

The previous prime is 10224941. The next prime is 10224961. The reversal of 10224942 is 24942201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33153 + ... + 33459.

It is an arithmetic number, because the mean of its divisors is an integer number (401016).

Almost surely, 210224942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832512).

10224942 is an abundant number, since it is smaller than the sum of its proper divisors (15440082).

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

10224942 is a wasteful number, since it uses less digits than its factorization.

10224942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10224942 is about 3197.6463219062. The cubic root of 10224942 is about 217.0469151821.

The spelling of 10224942 in words is "ten million, two hundred twenty-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 78 91 122 182 183 273 307 366 427 546 614 793 854 921 1281 1586 1842 2149 2379 2562 3991 4298 4758 5551 6447 7982 11102 11973 12894 16653 18727 23946 27937 33306 37454 55874 56181 83811 112362 131089 167622 243451 262178 393267 486902 730353 786534 1460706 1704157 3408314 5112471 10224942