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2204241120 = 25335510241
BaseRepresentation
bin1000001101100010…
…0000110011100000
312200121200001101000
42003120200303200
514003241203440
61002420312000
7105423511644
oct20330406340
95617601330
102204241120
11a31266a84
12516242600
13291887bb3
1416ca62c24
15cd7a8730
hex83620ce0

2204241120 has 96 divisors (see below), whose sum is σ = 7714859040. Its totient is φ = 587796480.

The previous prime is 2204241113. The next prime is 2204241157. The reversal of 2204241120 is 211424022.

2204241120 is a `hidden beast` number, since 220 + 424 + 1 + 1 + 20 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2204241093 and 2204241102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250801 + ... + 259440.

It is an arithmetic number, because the mean of its divisors is an integer number (80363115).

Almost surely, 22204241120 is an apocalyptic number.

2204241120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2204241120 is an abundant number, since it is smaller than the sum of its proper divisors (5510617920).

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

2204241120 is a wasteful number, since it uses less digits than its factorization.

2204241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510265 (or 510251 counting only the distinct ones).

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

The square root of 2204241120 is about 46949.3463213281. The cubic root of 2204241120 is about 1301.4266625579.

Adding to 2204241120 its reverse (211424022), we get a palindrome (2415665142).

The spelling of 2204241120 in words is "two billion, two hundred four million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 510241 1020482 1530723 2040964 2551205 3061446 4081928 4592169 5102410 6122892 7653615 8163856 9184338 10204820 12245784 13776507 15307230 16327712 18368676 20409640 22960845 24491568 27553014 30614460 36737352 40819280 45921690 48983136 55106028 61228920 68882535 73474704 81638560 91843380 110212056 122457840 137765070 146949408 183686760 220424112 244915680 275530140 367373520 440848224 551060280 734747040 1102120560 2204241120