Search a number
-
+
227770365700 = 22529723899829
BaseRepresentation
bin1101010000100000101…
…0111111011100000100
3210202220201010102121101
43110020022333130010
512212433203200300
6252345233225444
722312235110213
oct3241012773404
9722821112541
10227770365700
1188662484a59
1238187a02284
131862b7a8227
14b04a37707a
155dd147ab6a
hex35082bf704

227770365700 has 72 divisors (see below), whose sum is σ = 499617024200. Its totient is φ = 90121973760.

The previous prime is 227770365679. The next prime is 227770365727. The reversal of 227770365700 is 7563077722.

227770365700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 45530170884 + 182240194816 = 213378^2 + 426896^2 .

It is a super-2 number, since 2×2277703657002 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 23168386 + ... + 23178214.

Almost surely, 2227770365700 is an apocalyptic number.

227770365700 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 227770365700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249808512100).

227770365700 is an abundant number, since it is smaller than the sum of its proper divisors (271846658500).

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

227770365700 is a wasteful number, since it uses less digits than its factorization.

227770365700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12329 (or 12322 counting only the distinct ones).

The product of its (nonzero) digits is 864360, while the sum is 46.

The spelling of 227770365700 in words is "two hundred twenty-seven billion, seven hundred seventy million, three hundred sixty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2389 2425 4778 4850 9556 9700 9829 11945 19658 23890 39316 47780 49145 59725 98290 119450 196580 231733 238900 245725 463466 491450 926932 953413 982900 1158665 1906826 2317330 3813652 4634660 4767065 5793325 9534130 11586650 19068260 23173300 23481481 23835325 46962962 47670650 93925924 95341300 117407405 234814810 469629620 587037025 1174074050 2277703657 2348148100 4555407314 9110814628 11388518285 22777036570 45554073140 56942591425 113885182850 227770365700