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199923973 is a prime number
BaseRepresentation
bin10111110101010…
…01100100000101
3111221012012010121
423322221210011
5402140031343
631501021541
74645216504
oct1372514405
9457165117
10199923973
11a2940927
1256b548b1
133255b812
141c7a283b
1512841aed
hexbea9905

199923973 has 2 divisors, whose sum is σ = 199923974. Its totient is φ = 199923972.

The previous prime is 199923967. The next prime is 199923979. The reversal of 199923973 is 379329991.

199923973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (199923967) and next prime (199923979).

It can be written as a sum of positive squares in only one way, i.e., 125843524 + 74080449 = 11218^2 + 8607^2 .

It is a cyclic number.

It is not a de Polignac number, because 199923973 - 221 = 197826821 is a prime.

It is a super-3 number, since 3×1999239733 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199923973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (199923979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99961986 + 99961987.

It is an arithmetic number, because the mean of its divisors is an integer number (99961987).

Almost surely, 2199923973 is an apocalyptic number.

It is an amenable number.

199923973 is a deficient number, since it is larger than the sum of its proper divisors (1).

199923973 is an equidigital number, since it uses as much as digits as its factorization.

199923973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 826686, while the sum is 52.

The square root of 199923973 is about 14139.4474078728. The cubic root of 199923973 is about 584.7294368189.

The spelling of 199923973 in words is "one hundred ninety-nine million, nine hundred twenty-three thousand, nine hundred seventy-three".