Search a number
-
+
227132662848 = 26371367194027
BaseRepresentation
bin1101001110001000101…
…0010110010001000000
3210201021021011202202020
43103202022112101000
512210131430202343
6252202053121440
722260362531220
oct3234212262100
9721237152666
10227132662848
1188365515403
123802a329280
131855963b570
14adc97b8080
155d954b1b83
hex34e2296440

227132662848 has 224 divisors, whose sum is σ = 750680361984. Its totient is φ = 59008739328.

The previous prime is 227132662843. The next prime is 227132662853. The reversal of 227132662848 is 848266231722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (227132662843) and next prime (227132662853).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2271326628482 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 227132662848.

It is not an unprimeable number, because it can be changed into a prime (227132662843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073611 + ... + 1267637.

It is an arithmetic number, because the mean of its divisors is an integer number (3351251616).

Almost surely, 2227132662848 is an apocalyptic number.

227132662848 is a gapful number since it is divisible by the number (28) 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 227132662848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375340180992).

227132662848 is an abundant number, since it is smaller than the sum of its proper divisors (523547699136).

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

227132662848 is a wasteful number, since it uses less digits than its factorization.

227132662848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194129 (or 194119 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The spelling of 227132662848 in words is "two hundred twenty-seven billion, one hundred thirty-two million, six hundred sixty-two thousand, eight hundred forty-eight".