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14223204000 = 253253395089
BaseRepresentation
bin11010011111100010…
…01101111010100000
31100201020110121220100
431033301031322200
5213112120012000
610311204342400
71012315145025
oct151761157240
940636417810
1014223204000
11603969a755
12290b3a4a00
13145892ba55
1498cdb954c
15583a22a00
hex34fc4dea0

14223204000 has 144 divisors (see below), whose sum is σ = 50478278760. Its totient is φ = 3792844800.

The previous prime is 14223203999. The next prime is 14223204011. The reversal of 14223204000 is 40232241.

It can be written as a sum of positive squares in 4 ways, for example, as 6937557264 + 7285646736 = 83292^2 + 85356^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161545 + ... + 233544.

Almost surely, 214223204000 is an apocalyptic number.

14223204000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14223204000 is an abundant number, since it is smaller than the sum of its proper divisors (36255074760).

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

14223204000 is a wasteful number, since it uses less digits than its factorization.

14223204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395120 (or 395099 counting only the distinct ones).

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

Adding to 14223204000 its reverse (40232241), we get a palindrome (14263436241).

The spelling of 14223204000 in words is "fourteen billion, two hundred twenty-three million, two hundred 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 395089 790178 1185267 1580356 1975445 2370534 3160712 3555801 3950890 4741068 5926335 6321424 7111602 7901780 9482136 9877225 11852670 12642848 14223204 15803560 17779005 18964272 19754450 23705340 28446408 29631675 31607120 35558010 37928544 39508900 47410680 49386125 56892816 59263350 63214240 71116020 79017800 88895025 94821360 98772250 113785632 118526700 142232040 148158375 158035600 177790050 189642720 197544500 237053400 284464080 296316750 316071200 355580100 395089000 444475125 474106800 568928160 592633500 711160200 790178000 888950250 948213600 1185267000 1422320400 1580356000 1777900500 2370534000 2844640800 3555801000 4741068000 7111602000 14223204000