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200223414240 = 25351792698663
BaseRepresentation
bin1011101001111000111…
…1101101011111100000
3201010210220200022012220
42322132033231133200
511240024143223430
6231551550351040
720315502640323
oct2723617553740
9633726608186
10200223414240
1177a06996673
123297a4bb480
1315b5b6b3955
149995a3a7ba
15531cda6110
hex2e9e3ed7e0

200223414240 has 192 divisors, whose sum is σ = 636658444800. Its totient is φ = 52891142144.

The previous prime is 200223414197. The next prime is 200223414241. The reversal of 200223414240 is 42414322002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200223414240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200223414241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23108149 + ... + 23116811.

It is an arithmetic number, because the mean of its divisors is an integer number (3315929400).

Almost surely, 2200223414240 is an apocalyptic number.

200223414240 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 200223414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318329222400).

200223414240 is an abundant number, since it is smaller than the sum of its proper divisors (436435030560).

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

200223414240 is a wasteful number, since it uses less digits than its factorization.

200223414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129 (or 9121 counting only the distinct ones).

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

Adding to 200223414240 its reverse (42414322002), we get a palindrome (242637736242).

The spelling of 200223414240 in words is "two hundred billion, two hundred twenty-three million, four hundred fourteen thousand, two hundred forty".