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200214323223400 = 23527128614928207
BaseRepresentation
bin101101100001100000000111…
…100111010101101101101000
3222020220022011102120212210101
4231201200013213111231220
5202220302413221122100
61545453105035555144
760113002400542363
oct5541400747255550
9866808142525711
10200214323223400
1158881465979262
121a556a638bbab4
13879418bb59375
1437625d40b90da
151823079be186a
hexb618079d5b68

200214323223400 has 96 divisors (see below), whose sum is σ = 472219707790080. Its totient is φ = 78930147296000.

The previous prime is 200214323223377. The next prime is 200214323223419. The reversal of 200214323223400 is 4322323412002.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38162097 + ... + 43090303.

It is an arithmetic number, because the mean of its divisors is an integer number (4918955289480).

Almost surely, 2200214323223400 is an apocalyptic number.

200214323223400 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 200214323223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236109853895040).

200214323223400 is an abundant number, since it is smaller than the sum of its proper divisors (272005384566680).

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

200214323223400 is a wasteful number, since it uses less digits than its factorization.

200214323223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931155 (or 4931146 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 200214323223400 its reverse (4322323412002), we get a palindrome (204536646635402).

The spelling of 200214323223400 in words is "two hundred trillion, two hundred fourteen billion, three hundred twenty-three million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 2861 3550 5722 7100 11444 14200 14305 22888 28610 57220 71525 114440 143050 203131 286100 406262 572200 812524 1015655 1625048 2031310 4062620 4928207 5078275 8125240 9856414 10156550 19712828 20313100 24641035 39425656 40626200 49282070 98564140 123205175 197128280 246410350 349902697 492820700 699805394 985641400 1399610788 1749513485 2799221576 3499026970 6998053940 8747567425 13996107880 14099600227 17495134850 28199200454 34990269700 56398400908 69980539400 70498001135 112796801816 140996002270 281992004540 352490005675 563984009080 704980011350 1001071616117 1409960022700 2002143232234 2819920045400 4004286464468 5005358080585 8008572928936 10010716161170 20021432322340 25026790402925 40042864644680 50053580805850 100107161611700 200214323223400