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12222230200 = 23521572691447
BaseRepresentation
bin10110110001000000…
…00110111010111000
31011112210021121212121
423120200012322320
5200012342331300
65340444451024
7611610146125
oct133040067270
934483247777
1012222230200
1152021484a4
122451249a74
1311ca20339b
1483d34974c
154b801b81a
hex2d8806eb8

12222230200 has 96 divisors (see below), whose sum is σ = 28723831200. Its totient is φ = 4836349440.

The previous prime is 12222230179. The next prime is 12222230213. The reversal of 12222230200 is 203222221.

It is a super-2 number, since 2×122222302002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8445877 + ... + 8447323.

It is an arithmetic number, because the mean of its divisors is an integer number (299206575).

Almost surely, 212222230200 is an apocalyptic number.

12222230200 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 12222230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361915600).

12222230200 is an abundant number, since it is smaller than the sum of its proper divisors (16501601000).

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

12222230200 is a wasteful number, since it uses less digits than its factorization.

12222230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12222230200 its reverse (203222221), we get a palindrome (12425452421).

The spelling of 12222230200 in words is "twelve billion, two hundred twenty-two million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 269 314 538 628 785 1076 1256 1345 1447 1570 2152 2690 2894 3140 3925 5380 5788 6280 6725 7235 7850 10760 11576 13450 14470 15700 26900 28940 31400 36175 42233 53800 57880 72350 84466 144700 168932 211165 227179 289400 337864 389243 422330 454358 778486 844660 908716 1055825 1135895 1556972 1689320 1817432 1946215 2111650 2271790 3113944 3892430 4223300 4543580 5679475 7784860 8446600 9087160 9731075 11358950 15569720 19462150 22717900 38924300 45435800 61111151 77848600 122222302 244444604 305555755 488889208 611111510 1222223020 1527778775 2444446040 3055557550 6111115100 12222230200