Search a number
-
+
227691208900 = 2252477172
BaseRepresentation
bin1101010000001101110…
…1000010000011000100
3210202201012011211220001
43110003131002003010
512212302422141100
6252333324451044
722310254225321
oct3240335020304
9722635154801
10227691208900
118862182a311
12381653a9a84
131861828189c
14b03da4db48
155dc9541d6a
hex35037420c4

227691208900 has 27 divisors (see below), whose sum is σ = 494100278119. Its totient is φ = 91074574880.

The previous prime is 227691208841. The next prime is 227691208907. The reversal of 227691208900 is 9802196722.

The square root of 227691208900 is 477170.

It is a perfect power (a square), and thus also a powerful number.

227691208900 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 4 ways, for example, as 29744521156 + 197946687744 = 172466^2 + 444912^2 .

It is a super-2 number, since 2×2276912089002 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (227691208907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4747842 + ... + 4795558.

Almost surely, 2227691208900 is an apocalyptic number.

227691208900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

227691208900 is the 477170-th square number.

It is an amenable number.

227691208900 is an abundant number, since it is smaller than the sum of its proper divisors (266409069219).

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

227691208900 is an frugal number, since it uses more digits than its factorization.

227691208900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95448 (or 47724 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 227691208900 in words is "two hundred twenty-seven billion, six hundred ninety-one million, two hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 47717 95434 190868 238585 477170 954340 1192925 2385850 4771700 2276912089 4553824178 9107648356 11384560445 22769120890 45538241780 56922802225 113845604450 227691208900