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20558220 = 22354161137
BaseRepresentation
bin100111001101…
…1000110001100
31102200110120120
41032123012030
520230330340
62012344540
7336512334
oct116330614
942613516
1020558220
1110671771
126a75150
13434a537
142a320c4
151c114d0
hex139b18c

20558220 has 96 divisors (see below), whose sum is σ = 60371136. Its totient is φ = 5222400.

The previous prime is 20558207. The next prime is 20558221. The reversal of 20558220 is 2285502.

It is not an unprimeable number, because it can be changed into a prime (20558221) 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, 149992 + ... + 150128.

It is an arithmetic number, because the mean of its divisors is an integer number (628866).

Almost surely, 220558220 is an apocalyptic number.

20558220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20558220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30185568).

20558220 is an abundant number, since it is smaller than the sum of its proper divisors (39812916).

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

20558220 is a wasteful number, since it uses less digits than its factorization.

20558220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 20558220 is about 4534.1173341677. The cubic root of 20558220 is about 273.9440274962.

It can be divided in two parts, 2055 and 8220, that multiplied together give a square (16892100 = 41102).

The spelling of 20558220 in words is "twenty million, five hundred fifty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 61 82 122 123 137 164 183 205 244 246 274 305 366 410 411 492 548 610 615 685 732 820 822 915 1220 1230 1370 1644 1830 2055 2460 2501 2740 3660 4110 5002 5617 7503 8220 8357 10004 11234 12505 15006 16714 16851 22468 25010 25071 28085 30012 33428 33702 37515 41785 50020 50142 56170 67404 75030 83570 84255 100284 112340 125355 150060 167140 168510 250710 337020 342637 501420 685274 1027911 1370548 1713185 2055822 3426370 4111644 5139555 6852740 10279110 20558220