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198230000761 = 1366123068777
BaseRepresentation
bin1011100010011101101…
…1011100010001111001
3200221122222201102000001
42320213123130101321
511221433340011021
6231022100513001
720215216130242
oct2704733342171
9627588642001
10198230000761
1177083738611
12325029ab761
1315901704550
149846db7cc9
155252d95091
hex2e276dc479

198230000761 has 8 divisors (see below), whose sum is σ = 213801434504. Its totient is φ = 182704705920.

The previous prime is 198230000753. The next prime is 198230000779. The reversal of 198230000761 is 167000032891.

It is the 181765-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 41200880400 + 157029120361 = 202980^2 + 396269^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 198230000761 - 23 = 198230000753 is a prime.

It is a super-3 number, since 3×1982300007613 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 198230000761.

It is not an unprimeable number, because it can be changed into a prime (198230000701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11525796 + ... + 11542981.

It is an arithmetic number, because the mean of its divisors is an integer number (26725179313).

Almost surely, 2198230000761 is an apocalyptic number.

It is an amenable number.

198230000761 is a deficient number, since it is larger than the sum of its proper divisors (15571433743).

198230000761 is a wasteful number, since it uses less digits than its factorization.

198230000761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23069451.

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 198230000761 in words is "one hundred ninety-eight billion, two hundred thirty million, seven hundred sixty-one", and thus it is an aban number.

Divisors: 1 13 661 8593 23068777 299894101 15248461597 198230000761