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22290147 = 351131269
BaseRepresentation
bin101010100000…
…1111011100011
31112221110100000
41111001323203
521201241042
62113431043
7360314565
oct125017343
945843300
1022290147
1111644a10
12756b483
134805949
142d63335
151e5474c
hex1541ee3

22290147 has 48 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 13024800.

The previous prime is 22290143. The next prime is 22290161. The reversal of 22290147 is 74109222.

It is not a de Polignac number, because 22290147 - 22 = 22290143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 22290147.

It is not an unprimeable number, because it can be changed into a prime (22290143) 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 47 ways as a sum of consecutive naturals, for example, 82729 + ... + 82997.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

It is a vampire number, since it can be written as 24219207 (with its own digits).

Almost surely, 222290147 is an apocalyptic number.

22290147 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

22290147 is a deficient number, since it is larger than the sum of its proper divisors (15449373).

22290147 is a wasteful number, since it uses less digits than its factorization.

22290147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 22290147 is about 4721.2442216009. The cubic root of 22290147 is about 281.4303802880.

Adding to 22290147 its reverse (74109222), we get a palindrome (96399369).

The spelling of 22290147 in words is "twenty-two million, two hundred ninety thousand, one hundred forty-seven".

Divisors: 1 3 9 11 27 31 33 81 93 99 243 269 279 297 341 807 837 891 1023 2421 2511 2673 2959 3069 7263 7533 8339 8877 9207 21789 25017 26631 27621 65367 75051 79893 82863 91729 225153 239679 275187 675459 719037 825561 2026377 2476683 7430049 22290147