Search a number
-
+
197227169568 = 2534112132612
BaseRepresentation
bin1011011110101110100…
…1111100011100100000
3200212002002201022020000
42313223221330130200
511212410123411233
6230334354420000
720151321165162
oct2675351743440
9625062638200
10197227169568
1176709660700
1232282b91600
13157a1a15800
14978db30932
1551e4d04d13
hex2deba7c720

197227169568 has 810 divisors, whose sum is σ = 701883433251. Its totient is φ = 54264038400.

The previous prime is 197227169551. The next prime is 197227169617. The reversal of 197227169568 is 865961722791.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

197227169568 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 2 + 7 + 1 + 69 + 568 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 8513383824 + 188713785744 = 92268^2 + 434412^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=314028.

Its product of digits (22861440) is a multiple of the sum of its prime divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3233232258 + ... + 3233232318.

Almost surely, 2197227169568 is an apocalyptic number.

197227169568 is a gapful number since it is divisible by the number (18) 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 197227169568

197227169568 is an abundant number, since it is smaller than the sum of its proper divisors (504656263683).

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

197227169568 is a wasteful number, since it uses less digits than its factorization.

197227169568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 90 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 197227169568 in words is "one hundred ninety-seven billion, two hundred twenty-seven million, one hundred sixty-nine thousand, five hundred sixty-eight".