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12230535150 = 2325243643983
BaseRepresentation
bin10110110001111111…
…10010011111101110
31011120100220120010100
423120333302133232
5200022004111100
65341342451530
7612040555611
oct133077623756
934510816110
1012230535150
115206900099
122453b93ba6
1311cbb50562
148404ac178
154b8b0c400
hex2d8ff27ee

12230535150 has 144 divisors (see below), whose sum is σ = 33710092416. Its totient is φ = 3177437760.

The previous prime is 12230535113. The next prime is 12230535151. The reversal of 12230535150 is 5153503221.

It is a happy number.

12230535150 is a `hidden beast` number, since 1 + 2 + 2 + 305 + 351 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230535151) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12441559 + ... + 12442541.

It is an arithmetic number, because the mean of its divisors is an integer number (234097864).

Almost surely, 212230535150 is an apocalyptic number.

12230535150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230535150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855046208).

12230535150 is an abundant number, since it is smaller than the sum of its proper divisors (21479557266).

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

12230535150 is a wasteful number, since it uses less digits than its factorization.

12230535150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 12230535150 in words is "twelve billion, two hundred thirty million, five hundred thirty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 643 645 774 983 1075 1286 1290 1929 1935 1966 2150 2949 3215 3225 3858 3870 4915 5787 5898 6430 6450 8847 9645 9675 9830 11574 14745 16075 17694 19290 19350 24575 27649 28935 29490 32150 42269 44235 48225 49150 55298 57870 73725 82947 84538 88470 96450 126807 138245 144675 147450 165894 211345 221175 248841 253614 276490 289350 380421 414735 422690 442350 497682 632069 634035 691225 760842 829470 1056725 1244205 1264138 1268070 1382450 1896207 1902105 2073675 2113450 2488410 3160345 3170175 3792414 3804210 4147350 5688621 6221025 6320690 6340350 9481035 9510525 11377242 12442050 15801725 18962070 19021050 27178967 28443105 31603450 47405175 54357934 56886210 81536901 94810350 135894835 142215525 163073802 244610703 271789670 284431050 407684505 489221406 679474175 815369010 1223053515 1358948350 2038422525 2446107030 4076845050 6115267575 12230535150