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2204311230 = 23251110392143
BaseRepresentation
bin1000001101100011…
…0001111010111110
312200121210121112200
42003120301322332
514003300424410
61002422012330
7105424223232
oct20330617276
95617717480
102204311230
11a31304720
125162770a6
132918b0a94
1416ca805c2
15cd7be3c0
hex83631ebe

2204311230 has 96 divisors (see below), whose sum is σ = 6261166080. Its totient is φ = 533615040.

The previous prime is 2204311217. The next prime is 2204311247. The reversal of 2204311230 is 321134022.

2204311230 is a `hidden beast` number, since 2 + 2 + 0 + 431 + 1 + 230 = 666.

It is a super-2 number, since 2×22043112302 = 9717975997408225800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1027539 + ... + 1029681.

It is an arithmetic number, because the mean of its divisors is an integer number (65220480).

Almost surely, 22204311230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130583040).

2204311230 is an abundant number, since it is smaller than the sum of its proper divisors (4056854850).

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

2204311230 is a wasteful number, since it uses less digits than its factorization.

2204311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2204311230 is about 46950.0929711540. The cubic root of 2204311230 is about 1301.4404605124.

Adding to 2204311230 its reverse (321134022), we get a palindrome (2525445252).

The spelling of 2204311230 in words is "two billion, two hundred four million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1039 2078 2143 3117 4286 5195 6234 6429 9351 10390 10715 11429 12858 15585 18702 19287 21430 22858 23573 31170 32145 34287 38574 46755 47146 57145 64290 68574 70719 93510 96435 102861 114290 117865 141438 171435 192870 205722 212157 235730 342870 353595 424314 514305 707190 1028610 1060785 2121570 2226577 4453154 6679731 11132885 13359462 20039193 22265770 24492347 33398655 40078386 48984694 66797310 73477041 100195965 122461735 146954082 200391930 220431123 244923470 367385205 440862246 734770410 1102155615 2204311230