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200224044144120 = 233529317490936973
BaseRepresentation
bin101101100001101001001011…
…000001101101010111111000
3222020221020020220012211010010
4231201221023001231113320
5202220432320300102440
61545501353413021520
760113465316160203
oct5541511301552770
9866836226184103
10200224044144120
11588855a40a8937
121a5589173248a0
13879507aa92269
143762c7715293a
151823448324580
hexb61a4b06d5f8

200224044144120 has 256 divisors, whose sum is σ = 623489012496000. Its totient is φ = 51377455374336.

The previous prime is 200224044144109. The next prime is 200224044144121. The reversal of 200224044144120 is 21441440422002.

200224044144120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200224044144121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5415393954 + ... + 5415430926.

Almost surely, 2200224044144120 is an apocalyptic number.

200224044144120 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 200224044144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311744506248000).

200224044144120 is an abundant number, since it is smaller than the sum of its proper divisors (423264968351880).

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

200224044144120 is a wasteful number, since it uses less digits than its factorization.

200224044144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42242 (or 42238 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 200224044144120 its reverse (21441440422002), we get a palindrome (221665484566122).

The spelling of 200224044144120 in words is "two hundred trillion, two hundred twenty-four billion, forty-four million, one hundred forty-four thousand, one hundred twenty".