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22230130030200 = 233252121071020077
BaseRepresentation
bin1010000110111110110110…
…00000001111011001111000
32220201011211222120011101200
411003133123000033121320
510403204301241431300
6115140214124214200
74453034226350421
oct503373300173170
986634758504350
1022230130030200
1170a0821955724
1225b042169a360
13c533a51587c1
1456bd30604648
152883cb549200
hex1437db00f678

22230130030200 has 144 divisors (see below), whose sum is σ = 74662426243080. Its totient is φ = 5927539226880.

The previous prime is 22230130030187. The next prime is 22230130030219. The reversal of 22230130030200 is 203003103222.

It is a happy number.

22230130030200 is a `hidden beast` number, since 2 + 2 + 230 + 130 + 0 + 302 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21282562 + ... + 22302638.

Almost surely, 222230130030200 is an apocalyptic number.

22230130030200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22230130030200 is an abundant number, since it is smaller than the sum of its proper divisors (52432296212880).

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

22230130030200 is a wasteful number, since it uses less digits than its factorization.

22230130030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032206 (or 1032194 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22230130030200 its reverse (203003103222), we get a palindrome (22433133133422).

The spelling of 22230130030200 in words is "twenty-two trillion, two hundred thirty billion, one hundred thirty million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 12107 24214 36321 48428 60535 72642 96856 108963 121070 145284 181605 217926 242140 290568 302675 363210 435852 484280 544815 605350 726420 871704 908025 1020077 1089630 1210700 1452840 1816050 2040154 2179260 2421400 2724075 3060231 3632100 4080308 4358520 5100385 5448150 6120462 7264200 8160616 9180693 10200770 10896300 12240924 15301155 18361386 20401540 21792600 24481848 25501925 30602310 36722772 40803080 45903465 51003850 61204620 73445544 76505775 91806930 102007700 122409240 153011550 183613860 204015400 229517325 306023100 367227720 459034650 612046200 918069300 1836138600 12350072239 24700144478 37050216717 49400288956 61750361195 74100433434 98800577912 111150650151 123500722390 148200866868 185251083585 222301300302 247001444780 296401733736 308751805975 370502167170 444602600604 494002889560 555753250755 617503611950 741004334340 889205201208 926255417925 1111506501510 1235007223900 1482008668680 1852510835850 2223013003020 2470014447800 2778766253775 3705021671700 4446026006040 5557532507550 7410043343400 11115065015100 22230130030200