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22504230 = 238573
BaseRepresentation
bin101010111011…
…0001100100110
31120100100000000
41111312030212
521230113410
62122202130
7362166000
oct125661446
946310000
1022504230
1111780841
127653346
13487c218
142dbb370
151e97dc0
hex1576326

22504230 has 144 divisors (see below), whose sum is σ = 70855200. Its totient is φ = 5143824.

The previous prime is 22504217. The next prime is 22504253. The reversal of 22504230 is 3240522.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3214887 + ... + 3214893.

It is an arithmetic number, because the mean of its divisors is an integer number (492050).

Almost surely, 222504230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22504230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35427600).

22504230 is an abundant number, since it is smaller than the sum of its proper divisors (48350970).

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

22504230 is an frugal number, since it uses more digits than its factorization.

22504230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22504230 is about 4743.8623504482. The cubic root of 22504230 is about 282.3284990331.

Adding to 22504230 its reverse (3240522), we get a palindrome (25744752).

The spelling of 22504230 in words is "twenty-two million, five hundred four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 243 245 270 294 315 343 378 405 441 486 490 567 630 686 729 735 810 882 945 1029 1134 1215 1323 1458 1470 1701 1715 1890 2058 2187 2205 2430 2646 2835 3087 3402 3430 3645 3969 4374 4410 5103 5145 5670 6174 6561 6615 7290 7938 8505 9261 10206 10290 10935 11907 13122 13230 15309 15435 17010 18522 19845 21870 23814 25515 27783 30618 30870 32805 35721 39690 45927 46305 51030 55566 59535 65610 71442 76545 83349 91854 92610 107163 119070 138915 153090 166698 178605 214326 229635 250047 277830 321489 357210 416745 459270 500094 535815 642978 750141 833490 1071630 1250235 1500282 1607445 2250423 2500470 3214890 3750705 4500846 7501410 11252115 22504230