Search a number
-
+
22301003320 = 23523193125597
BaseRepresentation
bin10100110001001111…
…100100111000111000
32010120012021100101221
4110301033210320320
5331133024101240
614124523521424
71416432254251
oct246117447070
963505240357
1022301003320
119504375962
1243a4689274
13214531166b
141117b35b28
158a7c89a4a
hex5313e4e38

22301003320 has 64 divisors (see below), whose sum is σ = 52630585920. Its totient is φ = 8488280064.

The previous prime is 22301003279. The next prime is 22301003339. The reversal of 22301003320 is 2330010322.

It is a junction number, because it is equal to n+sod(n) for n = 22301003294 and 22301003303.

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 15 ways as a sum of consecutive naturals, for example, 114762 + ... + 240358.

It is an arithmetic number, because the mean of its divisors is an integer number (822352905).

Almost surely, 222301003320 is an apocalyptic number.

22301003320 is a gapful number since it is divisible by the number (20) 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 22301003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26315292960).

22301003320 is an abundant number, since it is smaller than the sum of its proper divisors (30329582600).

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

22301003320 is a wasteful number, since it uses less digits than its factorization.

22301003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125824 (or 125820 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 22301003320 its reverse (2330010322), we get a palindrome (24631013642).

The spelling of 22301003320 in words is "twenty-two billion, three hundred one million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 193 230 386 460 772 920 965 1544 1930 3860 4439 7720 8878 17756 22195 35512 44390 88780 125597 177560 251194 502388 627985 1004776 1255970 2511940 2888731 5023880 5777462 11554924 14443655 23109848 24240221 28887310 48480442 57774620 96960884 115549240 121201105 193921768 242402210 484804420 557525083 969608840 1115050166 2230100332 2787625415 4460200664 5575250830 11150501660 22301003320