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200223040414200 = 233521134876063947
BaseRepresentation
bin101101100001101000001111…
…001100110010000111111000
3222020221010122221112001111220
4231201220033030302013320
5202220423241321223300
61545501110035352040
760113431410462666
oct5541501714620770
9866833587461456
10200223040414200
1158885129567781
121a558697152620
138794c4ab4a42b
143762bbdb13c36
1518233da157da0
hexb61a0f3321f8

200223040414200 has 192 divisors, whose sum is σ = 627470172552960. Its totient is φ = 52811633387520.

The previous prime is 200223040414169. The next prime is 200223040414219. The reversal of 200223040414200 is 2414040322002.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 29986627 + ... + 36050573.

It is an arithmetic number, because the mean of its divisors is an integer number (3268073815380).

Almost surely, 2200223040414200 is an apocalyptic number.

200223040414200 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 200223040414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313735086276480).

200223040414200 is an abundant number, since it is smaller than the sum of its proper divisors (427247132138760).

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

200223040414200 is a wasteful number, since it uses less digits than its factorization.

200223040414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064566 (or 6064557 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 200223040414200 its reverse (2414040322002), we get a palindrome (202637080736202).

The spelling of 200223040414200 in words is "two hundred trillion, two hundred twenty-three billion, forty million, four hundred fourteen thousand, two hundred".