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22204310232 = 233131731135043
BaseRepresentation
bin10100101011011110…
…101110001011011000
32010022110022211102110
4110223132232023120
5330433300411412
614111151232320
71414146344226
oct245336561330
963273284373
1022204310232
119464832a15
1243782186a0
13212b288110
141108d65b16
1589e539d3c
hex52b7ae2d8

22204310232 has 128 divisors (see below), whose sum is σ = 65339688960. Its totient is φ = 6222735360.

The previous prime is 22204310213. The next prime is 22204310243. The reversal of 22204310232 is 23201340222.

It is a junction number, because it is equal to n+sod(n) for n = 22204310199 and 22204310208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96903 + ... + 231945.

It is an arithmetic number, because the mean of its divisors is an integer number (510466320).

Almost surely, 222204310232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22204310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32669844480).

22204310232 is an abundant number, since it is smaller than the sum of its proper divisors (43135378728).

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

22204310232 is a wasteful number, since it uses less digits than its factorization.

22204310232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135113 (or 135109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22204310232 its reverse (23201340222), we get a palindrome (45405650454).

The spelling of 22204310232 in words is "twenty-two billion, two hundred four million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 31 34 39 51 52 62 68 78 93 102 104 124 136 156 186 204 221 248 312 372 403 408 442 527 663 744 806 884 1054 1209 1326 1581 1612 1768 2108 2418 2652 3162 3224 4216 4836 5304 6324 6851 9672 12648 13702 20553 27404 41106 54808 82212 135043 164424 270086 405129 540172 810258 1080344 1620516 1755559 2295731 3241032 3511118 4186333 4591462 5266677 6887193 7022236 8372666 9182924 10533354 12558999 13774386 14044472 16745332 18365848 21066708 25117998 27548772 29844503 33490664 42133416 50235996 54422329 55097544 59689006 71167661 89533509 100471992 108844658 119378012 142335322 163266987 179067018 213502983 217689316 238756024 284670644 326533974 358134036 427005966 435378632 569341288 653067948 716268072 854011932 925179593 1306135896 1708023864 1850359186 2775538779 3700718372 5551077558 7401436744 11102155116 22204310232