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204219296 = 2519595693
BaseRepresentation
bin11000010110000…
…10001110100000
3112020021102012122
430023002032200
5404240004141
632133043412
75026556351
oct1413021640
9466242178
10204219296
11a5304a86
1258486568
1333403928
141d19dd28
1512dde64b
hexc2c23a0

204219296 has 48 divisors (see below), whose sum is σ = 430466400. Its totient is φ = 95079168.

The previous prime is 204219293. The next prime is 204219299. The reversal of 204219296 is 692912402.

It is an interprime number because it is at equal distance from previous prime (204219293) and next prime (204219299).

It is not an unprimeable number, because it can be changed into a prime (204219293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33026 + ... + 38718.

It is an arithmetic number, because the mean of its divisors is an integer number (8968050).

Almost surely, 2204219296 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 204219296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215233200).

204219296 is an abundant number, since it is smaller than the sum of its proper divisors (226247104).

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

204219296 is a wasteful number, since it uses less digits than its factorization.

204219296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5773 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 204219296 is about 14290.5316905985. The cubic root of 204219296 is about 588.8873947248.

The spelling of 204219296 in words is "two hundred four million, two hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 608 944 1121 1888 2242 4484 5693 8968 11386 17936 22772 35872 45544 91088 108167 182176 216334 335887 432668 671774 865336 1343548 1730672 2687096 3461344 5374192 6381853 10748384 12763706 25527412 51054824 102109648 204219296