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200224223443040 = 2553893216970171
BaseRepresentation
bin101101100001101001010101…
…101101101011100001100000
3222020221020201101121010222212
4231201221111231223201200
5202220433202200134130
61545501423300021252
760113502624165446
oct5541512555534140
9866836641533885
10200224223443040
1158885686331865
121a558967391828
1387950a8c7bcb4
143762c92ca6b96
151823458e3ee95
hexb61a55b6b860

200224223443040 has 48 divisors (see below), whose sum is σ = 474245742756240. Its totient is φ = 79883803261440.

The previous prime is 200224223443037. The next prime is 200224223443051. The reversal of 200224223443040 is 40344322422002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 200224223442988 and 200224223443006.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1608422846 + ... + 1608547325.

It is an arithmetic number, because the mean of its divisors is an integer number (9880119640755).

Almost surely, 2200224223443040 is an apocalyptic number.

200224223443040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200224223443040 is an abundant number, since it is smaller than the sum of its proper divisors (274021519313200).

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

200224223443040 is a wasteful number, since it uses less digits than its factorization.

200224223443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216970575 (or 3216970567 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 200224223443040 its reverse (40344322422002), we get a palindrome (240568545865042).

The spelling of 200224223443040 in words is "two hundred trillion, two hundred twenty-four billion, two hundred twenty-three million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 389 778 1556 1945 3112 3890 6224 7780 12448 15560 31120 62240 3216970171 6433940342 12867880684 16084850855 25735761368 32169701710 51471522736 64339403420 102943045472 128678806840 257357613680 514715227360 1251401396519 2502802793038 5005605586076 6257006982595 10011211172152 12514013965190 20022422344304 25028027930380 40044844688608 50056055860760 100112111721520 200224223443040