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224301341000 = 23531129703139
BaseRepresentation
bin1101000011100101100…
…1101101100101001000
3210102221221112201100002
43100321121231211020
512133332120403000
6251013112102132
722130252640452
oct3207131554510
9712857481302
10224301341000
11871422943a0
123757a094948
13181c7b957a9
14abdb75d2d2
155c7bb3b8d5
hex343966d948

224301341000 has 128 divisors (see below), whose sum is σ = 592325136000. Its totient is φ = 78751456000.

The previous prime is 224301340951. The next prime is 224301341071. The reversal of 224301341000 is 143103422.

It is a super-2 number, since 2×2243013410002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32570 + ... + 670569.

It is an arithmetic number, because the mean of its divisors is an integer number (4627540125).

Almost surely, 2224301341000 is an apocalyptic number.

224301341000 is a gapful number since it is divisible by the number (20) 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 224301341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296162568000).

224301341000 is an abundant number, since it is smaller than the sum of its proper divisors (368023795000).

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

224301341000 is a wasteful number, since it uses less digits than its factorization.

224301341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703200 (or 703186 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 224301341000 its reverse (143103422), we get a palindrome (224444444422).

The spelling of 224301341000 in words is "two hundred twenty-four billion, three hundred one million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 39875 63800 79750 159500 319000 703139 1406278 2812556 3515695 5625112 7031390 7734529 14062780 15469058 17578475 20391031 28125560 30938116 35156950 38672645 40782062 61876232 70313900 77345290 81564124 87892375 101955155 140627800 154690580 163128248 175784750 193363225 203910310 224301341 309381160 351569500 386726450 407820620 448602682 509775775 703139000 773452900 815641240 897205364 966816125 1019551550 1121506705 1546905800 1794410728 1933632250 2039103100 2243013410 2548878875 3867264500 4078206200 4486026820 5097757750 5607533525 7734529000 8972053640 10195515500 11215067050 20391031000 22430134100 28037667625 44860268200 56075335250 112150670500 224301341000