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22312303000 = 23531314911519
BaseRepresentation
bin10100110001111010…
…101011100110011000
32010120222112102122121
4110301322223212120
5331143422144000
614130010031024
71416630306031
oct246172534630
963528472577
1022312303000
11950a793539
1243a8418474
132147769970
141119437a88
158a8c6cb1a
hex531eab998

22312303000 has 128 divisors (see below), whose sum is σ = 56609280000. Its totient is φ = 8182387200.

The previous prime is 22312302983. The next prime is 22312303001. The reversal of 22312303000 is 30321322.

It is a super-3 number, since 3×223123030003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312303001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1931241 + ... + 1942759.

It is an arithmetic number, because the mean of its divisors is an integer number (442260000).

Almost surely, 222312303000 is an apocalyptic number.

22312303000 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 22312303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640000).

22312303000 is an abundant number, since it is smaller than the sum of its proper divisors (34296977000).

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

22312303000 is a wasteful number, since it uses less digits than its factorization.

22312303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11702 (or 11688 counting only the distinct ones).

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

Adding to 22312303000 its reverse (30321322), we get a palindrome (22342624322).

The spelling of 22312303000 in words is "twenty-two billion, three hundred twelve million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 149 200 250 260 298 325 500 520 596 650 745 1000 1192 1300 1490 1625 1937 2600 2980 3250 3725 3874 5960 6500 7450 7748 9685 11519 13000 14900 15496 18625 19370 23038 29800 37250 38740 46076 48425 57595 74500 77480 92152 96850 115190 149000 149747 193700 230380 242125 287975 299494 387400 460760 484250 575950 598988 748735 968500 1151900 1197976 1439875 1497470 1716331 1937000 2303800 2879750 2994940 3432662 3743675 5759500 5989880 6865324 7487350 8581655 11519000 13730648 14974700 17163310 18718375 22312303 29949400 34326620 37436750 42908275 44624606 68653240 74873500 85816550 89249212 111561515 149747000 171633100 178498424 214541375 223123030 343266200 429082750 446246060 557807575 858165500 892492120 1115615150 1716331000 2231230300 2789037875 4462460600 5578075750 11156151500 22312303000