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194994100224 = 21133711411117
BaseRepresentation
bin1011010110011010001…
…1011101100000000000
3200122022110210121222000
42311212203131200000
511143321442201344
6225325024144000
720042064335010
oct2654643354000
9618273717860
10194994100224
11757730a4650
123195b168000
13155071a60c1
14961b325c40
155113c54a69
hex2d668dd800

194994100224 has 768 divisors, whose sum is σ = 738373708800. Its totient is φ = 49368268800.

The previous prime is 194994100199. The next prime is 194994100243. The reversal of 194994100224 is 422001499491.

It is a happy number.

194994100224 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 9 + 410 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 194994100224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174568914 + ... + 174570030.

It is an arithmetic number, because the mean of its divisors is an integer number (961424100).

Almost surely, 2194994100224 is an apocalyptic number.

194994100224 is a gapful number since it is divisible by the number (14) 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 194994100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369186854400).

194994100224 is an abundant number, since it is smaller than the sum of its proper divisors (543379608576).

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

194994100224 is a wasteful number, since it uses less digits than its factorization.

194994100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 194994100224 in words is "one hundred ninety-four billion, nine hundred ninety-four million, one hundred thousand, two hundred twenty-four".