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205550112 = 2535371569
BaseRepresentation
bin11000100000001…
…11001000100000
3112022210000202010
430100013020200
5410110100422
632221352520
75044101315
oct1420071040
9468700663
10205550112
11a6033929
1258a08740
133377b5b1
141d428d0c
15130a3b0c
hexc407220

205550112 has 96 divisors (see below), whose sum is σ = 558472320. Its totient is φ = 66160640.

The previous prime is 205550101. The next prime is 205550141. The reversal of 205550112 is 211055502.

It is a tau number, because it is divible by the number of its divisors (96).

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, 360964 + ... + 361532.

It is an arithmetic number, because the mean of its divisors is an integer number (5817420).

Almost surely, 2205550112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205550112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279236160).

205550112 is an abundant number, since it is smaller than the sum of its proper divisors (352922208).

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

205550112 is a wasteful number, since it uses less digits than its factorization.

205550112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 205550112 is about 14337.0189370036. The cubic root of 205550112 is about 590.1638078150.

The spelling of 205550112 in words is "two hundred five million, five hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 71 96 106 142 159 212 213 284 318 424 426 568 569 636 848 852 1136 1138 1272 1696 1704 1707 2272 2276 2544 3408 3414 3763 4552 5088 6816 6828 7526 9104 11289 13656 15052 18208 22578 27312 30104 30157 40399 45156 54624 60208 60314 80798 90312 90471 120416 120628 121197 161596 180624 180942 241256 242394 323192 361248 361884 482512 484788 646384 723768 965024 969576 1292768 1447536 1939152 2141147 2895072 3878304 4282294 6423441 8564588 12846882 17129176 25693764 34258352 51387528 68516704 102775056 205550112