Search a number
-
+
227856706560 = 21039571719
BaseRepresentation
bin1101010000110101010…
…0010110110000000000
3210210010201121000000000
43110031110112300000
512213122304102220
6252402000000000
722314334022640
oct3241524266000
9723121530000
10227856706560
11886a719713a
12381b0900000
13186436487b2
14b057a10520
155dd8d33390
hex350d516c00

227856706560 has 1760 divisors, whose sum is σ = 1044327651840. Its totient is φ = 46438023168.

The previous prime is 227856706463. The next prime is 227856706603. The reversal of 227856706560 is 65607658722.

227856706560 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 5 + 6 + 70 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 227856706497 and 227856706506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11992458231 + ... + 11992458249.

It is an arithmetic number, because the mean of its divisors is an integer number (593367984).

Almost surely, 2227856706560 is an apocalyptic number.

227856706560 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 227856706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522163825920).

227856706560 is an abundant number, since it is smaller than the sum of its proper divisors (816470945280).

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

227856706560 is an frugal number, since it uses more digits than its factorization.

227856706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 227856706560 in words is "two hundred twenty-seven billion, eight hundred fifty-six million, seven hundred six thousand, five hundred sixty".