Search a number
-
+
229871900160 = 2933571727947
BaseRepresentation
bin1101011000010101101…
…1101101011000000000
3210222100011112102221000
43112011123231120000
512231234201301120
6253333544332000
722415303624640
oct3260533553000
9728304472830
10229871900160
11895407709a1
1238673774000
13188a4cb2646
14b1a9502520
155ea5be7990
hex35856ed600

229871900160 has 640 divisors, whose sum is σ = 988098186240. Its totient is φ = 49449664512.

The previous prime is 229871900131. The next prime is 229871900201. The reversal of 229871900160 is 61009178922.

229871900160 is a `hidden beast` number, since 229 + 87 + 190 + 0 + 160 = 666.

229871900160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 8211307 + ... + 8239253.

It is an arithmetic number, because the mean of its divisors is an integer number (1543903416).

Almost surely, 2229871900160 is an apocalyptic number.

229871900160 is a gapful number since it is divisible by the number (20) 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 229871900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494049093120).

229871900160 is an abundant number, since it is smaller than the sum of its proper divisors (758226286080).

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

229871900160 is a wasteful number, since it uses less digits than its factorization.

229871900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28003 (or 27981 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 229871900160 in words is "two hundred twenty-nine billion, eight hundred seventy-one million, nine hundred thousand, one hundred sixty".