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200214242332344 = 233223374497277573
BaseRepresentation
bin101101100001100000000010…
…110010110000111010111000
3222020220021221210101012010100
4231201200002302300322320
5202220302232014113334
61545453053030115400
760113000366145402
oct5541400262607270
9866807853335110
10200214242332344
1158881424249649
121a556a407abb60
138794178176536
1437625c745db72
151823072a63c99
hexb61802cb0eb8

200214242332344 has 192 divisors, whose sum is σ = 582409692072000. Its totient is φ = 61972775682048.

The previous prime is 200214242332297. The next prime is 200214242332361. The reversal of 200214242332344 is 443233242412002.

200214242332344 is a `hidden beast` number, since 20 + 0 + 2 + 142 + 423 + 32 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200214242332299 and 200214242332308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23872342 + ... + 31149914.

It is an arithmetic number, because the mean of its divisors is an integer number (3033383812875).

Almost surely, 2200214242332344 is an apocalyptic number.

200214242332344 is a gapful number since it is divisible by the number (24) 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 200214242332344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291204846036000).

200214242332344 is an abundant number, since it is smaller than the sum of its proper divisors (382195449739656).

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

200214242332344 is a wasteful number, since it uses less digits than its factorization.

200214242332344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7278094 (or 7278087 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 200214242332344 its reverse (443233242412002), we get a palindrome (643447484744346).

The spelling of 200214242332344 in words is "two hundred trillion, two hundred fourteen billion, two hundred forty-two million, three hundred thirty-two thousand, three hundred forty-four".