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204416256 = 2831124197
BaseRepresentation
bin11000010111100…
…10010100000000
3112020122102101110
430023302110000
5404312310011
632141203320
75031336522
oct1413622400
9466572343
10204416256
11a5429a60
1258560540
1333472485
141d211a12
1512e2cba6
hexc2f2500

204416256 has 72 divisors (see below), whose sum is σ = 593528544. Its totient is φ = 61941760.

The previous prime is 204416239. The next prime is 204416291. The reversal of 204416256 is 652614402.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3651 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (8243452).

Almost surely, 2204416256 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 204416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296764272).

204416256 is an abundant number, since it is smaller than the sum of its proper divisors (389112288).

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

204416256 is a wasteful number, since it uses less digits than its factorization.

204416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24227 (or 24213 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 204416256 is about 14297.4213059558. The cubic root of 204416256 is about 589.0766520500.

The spelling of 204416256 in words is "two hundred four million, four hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 24197 48394 72591 96788 145182 193576 266167 290364 387152 532334 580728 774304 798501 1064668 1161456 1548608 1597002 2129336 2322912 3097216 3194004 4258672 4645824 6194432 6388008 8517344 9291648 12776016 17034688 18583296 25552032 34069376 51104064 68138752 102208128 204416256