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11323222000 = 245323713467
BaseRepresentation
bin10101000101110101…
…01010011111110000
31002020010122021110121
422202322222133300
5141142221101000
65111331540024
7550412541016
oct124272523760
932203567417
1011323222000
114890733312
12224015a614
1310b5b9627c
14795baa8b6
15464138b1a
hex2a2eaa7f0

11323222000 has 160 divisors (see below), whose sum is σ = 28980716544. Its totient is φ = 4270112000.

The previous prime is 11323221991. The next prime is 11323222013. The reversal of 11323222000 is 22232311.

It is a super-2 number, since 2×113232220002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3264267 + ... + 3267733.

Almost surely, 211323222000 is an apocalyptic number.

11323222000 is a gapful number since it is divisible by the number (10) 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 11323222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14490358272).

11323222000 is an abundant number, since it is smaller than the sum of its proper divisors (17657494544).

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

11323222000 is a wasteful number, since it uses less digits than its factorization.

11323222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11323222000 its reverse (22232311), we get a palindrome (11345454311).

The spelling of 11323222000 in words is "eleven billion, three hundred twenty-three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 71 80 92 100 115 125 142 184 200 230 250 284 355 368 400 460 500 568 575 710 920 1000 1136 1150 1420 1633 1775 1840 2000 2300 2840 2875 3266 3467 3550 4600 5680 5750 6532 6934 7100 8165 8875 9200 11500 13064 13868 14200 16330 17335 17750 23000 26128 27736 28400 32660 34670 35500 40825 46000 55472 65320 69340 71000 79741 81650 86675 130640 138680 142000 159482 163300 173350 204125 246157 277360 318964 326600 346700 398705 408250 433375 492314 637928 653200 693400 797410 816500 866750 984628 1230785 1275856 1386800 1594820 1633000 1733500 1969256 1993525 2461570 3189640 3266000 3467000 3938512 3987050 4923140 5661611 6153925 6379280 6934000 7974100 9846280 9967625 11323222 12307850 15948200 19692560 19935250 22646444 24615700 28308055 30769625 31896400 39870500 45292888 49231400 56616110 61539250 79741000 90585776 98462800 113232220 123078500 141540275 159482000 226464440 246157000 283080550 452928880 492314000 566161100 707701375 1132322200 1415402750 2264644400 2830805500 5661611000 11323222000