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22205304 = 23321123253
BaseRepresentation
bin101010010110…
…1001101111000
31112210010221200
41110231031320
521141032204
62111534200
7356512332
oct124551570
945703850
1022205304
11115971a0
12752a360
1347a6144
142d40452
151e39539
hex152d378

22205304 has 144 divisors (see below), whose sum is σ = 69877080. Its totient is φ = 6314880.

The previous prime is 22205303. The next prime is 22205311. The reversal of 22205304 is 40350222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22205303) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 418942 + ... + 418994.

Almost surely, 222205304 is an apocalyptic number.

22205304 is a gapful number since it is divisible by the number (24) 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 22205304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34938540).

22205304 is an abundant number, since it is smaller than the sum of its proper divisors (47671776).

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

22205304 is a wasteful number, since it uses less digits than its factorization.

22205304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 92 counting only the distinct ones).

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

The square root of 22205304 is about 4712.2504177940. The cubic root of 22205304 is about 281.0728567473.

Adding to 22205304 its reverse (40350222), we get a palindrome (62555526).

The spelling of 22205304 in words is "twenty-two million, two hundred five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 53 66 69 72 88 92 99 106 132 138 159 184 198 207 212 253 264 276 318 396 414 424 477 506 529 552 583 636 759 792 828 954 1012 1058 1166 1219 1272 1518 1587 1656 1749 1908 2024 2116 2277 2332 2438 3036 3174 3498 3657 3816 4232 4554 4664 4761 4876 5247 5819 6072 6348 6996 7314 9108 9522 9752 10494 10971 11638 12696 13409 13992 14628 17457 18216 19044 20988 21942 23276 26818 28037 29256 34914 38088 40227 41976 43884 46552 52371 53636 56074 69828 80454 84111 87768 104742 107272 112148 120681 139656 160908 168222 209484 224296 241362 252333 308407 321816 336444 418968 482724 504666 616814 672888 925221 965448 1009332 1233628 1850442 2018664 2467256 2775663 3700884 5551326 7401768 11102652 22205304