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20282922 = 23211891151
BaseRepresentation
bin100110101011…
…1111000101010
31102011110221100
41031113320222
520143023142
62002422230
7334254612
oct115277052
942143840
1020282922
11104a3950
126961976
13428213a
14299da42
151ba9b4c
hex1357e2a

20282922 has 48 divisors (see below), whose sum is σ = 48522240. Its totient is φ = 6072000.

The previous prime is 20282917. The next prime is 20282929. The reversal of 20282922 is 22928202.

It is a super-2 number, since 2×202829222 = 822793849716168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20282929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17047 + ... + 18197.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 220282922 is an apocalyptic number.

20282922 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20282922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261120).

20282922 is an abundant number, since it is smaller than the sum of its proper divisors (28239318).

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

20282922 is a wasteful number, since it uses less digits than its factorization.

20282922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1256 counting only the distinct ones).

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

The square root of 20282922 is about 4503.6565144336. The cubic root of 20282922 is about 272.7157206622.

It can be divided in two parts, 2028 and 2922, that added together give a triangular number (4950 = T99).

The spelling of 20282922 in words is "twenty million, two hundred eighty-two thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1151 1602 1958 2302 2937 3453 5874 6906 8811 10359 12661 17622 20718 25322 37983 75966 102439 113949 204878 227898 307317 614634 921951 1126829 1843902 2253658 3380487 6760974 10141461 20282922