Search a number
-
+
227780925696 = 28326121632
BaseRepresentation
bin1101010000100011001…
…1010001100100000000
3210202221102222221012100
43110020303101210000
512212443404110241
6252350251430400
722312423631322
oct3241063214400
9722842887170
10227780925696
1188668437925
123818b455400
1318630a3494c
14b04b925612
155dd23649b6
hex3508cd1900

227780925696 has 243 divisors, whose sum is σ = 671812827777. Its totient is φ = 74224097280.

The previous prime is 227780925607. The next prime is 227780925709. The reversal of 227780925696 is 696529087722.

The square root of 227780925696 is 477264.

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

227780925696 is a `hidden beast` number, since 227 + 78 + 0 + 9 + 256 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7407012096 + 220373913600 = 86064^2 + 469440^2 .

It is a super-2 number, since 2×2277809256962 (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 (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1397428911 + ... + 1397429073.

Almost surely, 2227780925696 is an apocalyptic number.

227780925696 is the 477264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227780925696

227780925696 is an abundant number, since it is smaller than the sum of its proper divisors (444031902081).

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

227780925696 is an frugal number, since it uses more digits than its factorization.

227780925696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

It can be divided in two parts, 227780 and 925696, that added together give a square (1153476 = 10742).

The spelling of 227780925696 in words is "two hundred twenty-seven billion, seven hundred eighty million, nine hundred twenty-five thousand, six hundred ninety-six".