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200228789376 = 27337211472287
BaseRepresentation
bin1011101001111010010…
…0001101110010000000
3201010211021210101112000
42322132210031302000
511240032032230001
6231552301504000
720315566425300
oct2723644156200
9633737711460
10200228789376
1177a09a28030
1232980272000
1315b5c8463c5
149996639600
15531d5b8a86
hex2e9e90dc80

200228789376 has 768 divisors, whose sum is σ = 766220083200. Its totient is φ = 50878679040.

The previous prime is 200228789359. The next prime is 200228789413. The reversal of 200228789376 is 673987822002.

200228789376 is a `hidden beast` number, since 200 + 2 + 287 + 8 + 93 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87549705 + ... + 87551991.

It is an arithmetic number, because the mean of its divisors is an integer number (997682400).

Almost surely, 2200228789376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200228789376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383110041600).

200228789376 is an abundant number, since it is smaller than the sum of its proper divisors (565991293824).

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

200228789376 is a wasteful number, since it uses less digits than its factorization.

200228789376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 200228789376 in words is "two hundred billion, two hundred twenty-eight million, seven hundred eighty-nine thousand, three hundred seventy-six".