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20229282 = 23223131373
BaseRepresentation
bin100110100101…
…0110010100010
31102001202100200
41031022302202
520134314112
62001330030
7333642333
oct115126242
942052320
1020229282
1110467617
126936916
1342638b8
14298828a
151b98cdc
hex134aca2

20229282 has 48 divisors (see below), whose sum is σ = 46208448. Its totient is φ = 6383520.

The previous prime is 20229257. The next prime is 20229289. The reversal of 20229282 is 28292202.

It is not an unprimeable number, because it can be changed into a prime (20229289) 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 23 ways as a sum of consecutive naturals, for example, 54048 + ... + 54420.

It is an arithmetic number, because the mean of its divisors is an integer number (962676).

Almost surely, 220229282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20229282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23104224).

20229282 is an abundant number, since it is smaller than the sum of its proper divisors (25979166).

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

20229282 is a wasteful number, since it uses less digits than its factorization.

20229282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20229282 is about 4497.6974108982. The cubic root of 20229282 is about 272.4751013920.

The spelling of 20229282 in words is "twenty million, two hundred twenty-nine thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 46 69 131 138 207 262 373 393 414 746 786 1119 1179 2238 2358 3013 3357 6026 6714 8579 9039 17158 18078 25737 27117 48863 51474 54234 77211 97726 146589 154422 293178 439767 879534 1123849 2247698 3371547 6743094 10114641 20229282