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12302244000 = 253253341729
BaseRepresentation
bin10110111010100010…
…10101100010100000
31011202100211202011200
423131101111202200
5200143333302000
65352423441200
7613601230404
oct133521254240
934670752150
1012302244000
115243329002
122473bb6200
131210969b27
14849c17104
154c0074500
hex2dd4558a0

12302244000 has 144 divisors (see below), whose sum is σ = 43660791720. Its totient is φ = 3280588800.

The previous prime is 12302243969. The next prime is 12302244007. The reversal of 12302244000 is 44220321.

12302244000 is a `hidden beast` number, since 12 + 30 + 224 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6822099216 + 5480144784 = 82596^2 + 74028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302244007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134865 + ... + 206864.

Almost surely, 212302244000 is an apocalyptic number.

12302244000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302244000 is an abundant number, since it is smaller than the sum of its proper divisors (31358547720).

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

12302244000 is a wasteful number, since it uses less digits than its factorization.

12302244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341760 (or 341739 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12302244000 its reverse (44220321), we get a palindrome (12346464321).

The spelling of 12302244000 in words is "twelve billion, three hundred two million, two hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 341729 683458 1025187 1366916 1708645 2050374 2733832 3075561 3417290 4100748 5125935 5467664 6151122 6834580 8201496 8543225 10251870 10935328 12302244 13669160 15377805 16402992 17086450 20503740 24604488 25629675 27338320 30755610 32805984 34172900 41007480 42716125 49208976 51259350 54676640 61511220 68345800 76889025 82014960 85432250 98417952 102518700 123022440 128148375 136691600 153778050 164029920 170864500 205037400 246044880 256296750 273383200 307556100 341729000 384445125 410074800 492089760 512593500 615112200 683458000 768890250 820149600 1025187000 1230224400 1366916000 1537780500 2050374000 2460448800 3075561000 4100748000 6151122000 12302244000