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204404112 = 243211433001
BaseRepresentation
bin11000010111011…
…11010110010000
3112020121210201200
430023233112100
5404311412422
632141031200
75031256233
oct1413572620
9466553650
10204404112
11a5420920
1258555500
1333469aa3
141d20b41a
1512e292ac
hexc2ef590

204404112 has 120 divisors (see below), whose sum is σ = 638777568. Its totient is φ = 60480000.

The previous prime is 204404077. The next prime is 204404113. The reversal of 204404112 is 211404402.

204404112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (204404113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66612 + ... + 69612.

Almost surely, 2204404112 is an apocalyptic number.

204404112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319388784).

204404112 is an abundant number, since it is smaller than the sum of its proper divisors (434373456).

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

204404112 is a wasteful number, since it uses less digits than its factorization.

204404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204404112 is about 14296.9966076795. The cubic root of 204404112 is about 589.0649864928.

Adding to 204404112 its reverse (211404402), we get a palindrome (415808514).

The spelling of 204404112 in words is "two hundred four million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 66 72 86 88 99 129 132 144 172 176 198 258 264 344 387 396 473 516 528 688 774 792 946 1032 1419 1548 1584 1892 2064 2838 3001 3096 3784 4257 5676 6002 6192 7568 8514 9003 11352 12004 17028 18006 22704 24008 27009 33011 34056 36012 48016 54018 66022 68112 72024 99033 108036 129043 132044 144048 198066 216072 258086 264088 297099 387129 396132 432144 516172 528176 594198 774258 792264 1032344 1161387 1188396 1419473 1548516 1584528 2064688 2322774 2376792 2838946 3097032 4258419 4645548 4753584 5677892 6194064 8516838 9291096 11355784 12775257 17033676 18582192 22711568 25550514 34067352 51101028 68134704 102202056 204404112