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205215540 = 22355696011
BaseRepresentation
bin11000011101101…
…01011100110100
3112022011000210120
430032311130310
5410013344130
632210251540
75041206015
oct1416653464
9468130716
10205215540
11a5925522
1258886bb0
133369221a
141d37d00c
1513039910
hexc3b5734

205215540 has 48 divisors (see below), whose sum is σ = 575709120. Its totient is φ = 54618880.

The previous prime is 205215539. The next prime is 205215553. The reversal of 205215540 is 45512502.

It is a happy number.

It is a super-2 number, since 2×2052155402 = 84226835714983200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205215540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31135 + ... + 37145.

It is an arithmetic number, because the mean of its divisors is an integer number (11993940).

Almost surely, 2205215540 is an apocalyptic number.

205215540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205215540 is an abundant number, since it is smaller than the sum of its proper divisors (370493580).

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

205215540 is a wasteful number, since it uses less digits than its factorization.

205215540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 205215540 is about 14325.3460691182. The cubic root of 205215540 is about 589.8434325531.

The spelling of 205215540 in words is "two hundred five million, two hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 569 1138 1707 2276 2845 3414 5690 6011 6828 8535 11380 12022 17070 18033 24044 30055 34140 36066 60110 72132 90165 120220 180330 360660 3420259 6840518 10260777 13681036 17101295 20521554 34202590 41043108 51303885 68405180 102607770 205215540