Search a number
-
+
227969375040 = 263251119467811
BaseRepresentation
bin1101010001010000001…
…0001001101101000000
3210210102120121011002200
43110110002021231000
512213340130000130
6252421102513200
722320202500321
oct3242402115500
9723376534080
10227969375040
1188754850690
1238222595800
1318660aa6634
14b06897c448
155de3b8b760
hex3514089b40

227969375040 has 672 divisors, whose sum is σ = 903465239040. Its totient is φ = 52180070400.

The previous prime is 227969375003. The next prime is 227969375041. The reversal of 227969375040 is 40573969722.

227969375040 is a `hidden beast` number, since 2 + 2 + 79 + 69 + 3 + 7 + 504 + 0 = 666.

It is a super-2 number, since 2×2279693750402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227969375041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281096235 + ... + 281097045.

It is an arithmetic number, because the mean of its divisors is an integer number (1344442320).

Almost surely, 2227969375040 is an apocalyptic number.

227969375040 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 227969375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451732619520).

227969375040 is an abundant number, since it is smaller than the sum of its proper divisors (675495864000).

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

227969375040 is a wasteful number, since it uses less digits than its factorization.

227969375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 227969375040 in words is "two hundred twenty-seven billion, nine hundred sixty-nine million, three hundred seventy-five thousand, forty".