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204194880 = 2632570901
BaseRepresentation
bin11000010101111…
…00010001000000
3112020020011201100
430022330101000
5404233214010
632132334400
75026425231
oct1412742100
9466204640
10204194880
11a52986aa
1258474400
13333c5796
141d195088
1512dd72c0
hexc2bc440

204194880 has 84 divisors (see below), whose sum is σ = 702355212. Its totient is φ = 54451200.

The previous prime is 204194869. The next prime is 204194891. The reversal of 204194880 is 88491402.

It is an interprime number because it is at equal distance from previous prime (204194869) and next prime (204194891).

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 57881664 = 12096^2 + 7608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32571 + ... + 38330.

Almost surely, 2204194880 is an apocalyptic number.

204194880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204194880 is an abundant number, since it is smaller than the sum of its proper divisors (498160332).

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

204194880 is a wasteful number, since it uses less digits than its factorization.

204194880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70924 (or 70911 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 204194880 is about 14289.6773931394. The cubic root of 204194880 is about 588.8639251050.

The spelling of 204194880 in words is "two hundred four million, one hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 70901 141802 212703 283604 354505 425406 567208 638109 709010 850812 1063515 1134416 1276218 1418020 1701624 2127030 2268832 2552436 2836040 3190545 3403248 4254060 4537664 5104872 5672080 6381090 6806496 8508120 10209744 11344160 12762180 13612992 17016240 20419488 22688320 25524360 34032480 40838976 51048720 68064960 102097440 204194880