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20578228 = 22112174161
BaseRepresentation
bin100111001111…
…1111110110100
31102201111000121
41032133332310
520232000403
62013021324
7336624556
oct116377664
942644017
1020578228
1110685800
126a84844
134356688
142a394d6
151c173bd
hex139ffb4

20578228 has 72 divisors (see below), whose sum is σ = 43637832. Its totient is φ = 8448000.

The previous prime is 20578199. The next prime is 20578237. The reversal of 20578228 is 82287502.

It can be written as a sum of positive squares in 4 ways, for example, as 39204 + 20539024 = 198^2 + 4532^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 20578193 and 20578202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337318 + ... + 337378.

It is an arithmetic number, because the mean of its divisors is an integer number (606081).

Almost surely, 220578228 is an apocalyptic number.

It is an amenable number.

20578228 is an abundant number, since it is smaller than the sum of its proper divisors (23059604).

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

20578228 is a wasteful number, since it uses less digits than its factorization.

20578228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 20578228 is about 4536.3231807269. The cubic root of 20578228 is about 274.0328694118.

It can be divided in two parts, 2057 and 8228, that multiplied together give a square (16924996 = 41142).

The spelling of 20578228 in words is "twenty million, five hundred seventy-eight thousand, two hundred twenty-eight".

Divisors: 1 2 4 11 17 22 34 41 44 61 68 82 121 122 164 187 242 244 374 451 484 671 697 748 902 1037 1342 1394 1804 2057 2074 2501 2684 2788 4114 4148 4961 5002 7381 7667 8228 9922 10004 11407 14762 15334 19844 22814 27511 29524 30668 42517 45628 55022 84337 85034 110044 125477 168674 170068 250954 302621 337348 467687 501908 605242 935374 1210484 1870748 5144557 10289114 20578228