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1994770800 = 2434521129193
BaseRepresentation
bin111011011100101…
…1100100101110000
312011000111212010000
41312321130211300
513041130131200
6525534510000
7100301162211
oct16671344560
95130455100
101994770800
11933aa5910
12478065300
1325a366169
1414ccd7408
15ba1cd300
hex76e5c970

1994770800 has 600 divisors, whose sum is σ = 8121065040. Its totient is φ = 464486400.

The previous prime is 1994770787. The next prime is 1994770819. The reversal of 1994770800 is 80774991.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×19947708002 = 7958221089065280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 10335504 + ... + 10335696.

Almost surely, 21994770800 is an apocalyptic number.

1994770800 is a gapful number since it is divisible by the number (10) 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 1994770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060532520).

1994770800 is an abundant number, since it is smaller than the sum of its proper divisors (6126294240).

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

1994770800 is a wasteful number, since it uses less digits than its factorization.

1994770800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1994770800 is about 44662.8570514695. The cubic root of 1994770800 is about 1258.8220283113.

The spelling of 1994770800 in words is "one billion, nine hundred ninety-four million, seven hundred seventy thousand, eight hundred".