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200212423440400 = 24527131954211097
BaseRepresentation
bin101101100001011110010110…
…011000001111100000010000
3222020220010021000210220110001
4231201132112120033200100
5202220240020400043100
61545452152333015344
760112604331625420
oct5541362630174020
9866803230726401
10200212423440400
1158880680561168
121a556613624554
138793c483a0507
143762493a6a480
151822eb8027d6a
hexb6179660f810

200212423440400 has 120 divisors (see below), whose sum is σ = 550142896279680. Its totient is φ = 68592215546880.

The previous prime is 200212423440397. The next prime is 200212423440409. The reversal of 200212423440400 is 4044324212002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (200212423440409) 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, 23412349 + ... + 30798748.

It is an arithmetic number, because the mean of its divisors is an integer number (4584524135664).

Almost surely, 2200212423440400 is an apocalyptic number.

200212423440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212423440400 is an abundant number, since it is smaller than the sum of its proper divisors (349930472839280).

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

200212423440400 is a wasteful number, since it uses less digits than its factorization.

200212423440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54212441 (or 54212430 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 200212423440400 its reverse (4044324212002), we get a palindrome (204256747652402).

The spelling of 200212423440400 in words is "two hundred trillion, two hundred twelve billion, four hundred twenty-three million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1319 1400 2638 2800 5276 6595 9233 10552 13190 18466 21104 26380 32975 36932 46165 52760 65950 73864 92330 105520 131900 147728 184660 230825 263800 369320 461650 527600 738640 923300 1846600 3693200 54211097 108422194 216844388 271055485 379477679 433688776 542110970 758955358 867377552 1084221940 1355277425 1517910716 1897388395 2168443880 2710554850 3035821432 3794776790 4336887760 5421109700 6071642864 7589553580 9486941975 10842219400 15179107160 18973883950 21684438800 30358214320 37947767900 71504436943 75895535800 143008873886 151791071600 286017747772 357522184715 500531058601 572035495544 715044369430 1001062117202 1144070991088 1430088738860 1787610923575 2002124234404 2502655293005 2860177477720 3575221847150 4004248468808 5005310586010 5720354955440 7150443694300 8008496937616 10010621172020 12513276465025 14300887388600 20021242344040 25026552930050 28601774777200 40042484688080 50053105860100 100106211720200 200212423440400