Search a number
-
+
227717371728 = 243271137695449
BaseRepresentation
bin1101010000010100000…
…0110101011101010000
3210202210000102001112200
43110011000311131100
512212331121343403
6252340101323200
722311022502640
oct3240500653520
9722700361480
10227717371728
1188635579890
1238172106500
1318620812152
14b043300520
155dcb9adca3
hex3505035750

227717371728 has 240 divisors, whose sum is σ = 794902992000. Its totient is φ = 59120824320.

The previous prime is 227717371711. The next prime is 227717371729. The reversal of 227717371728 is 827173717722.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227717371729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41787948 + ... + 41793396.

It is an arithmetic number, because the mean of its divisors is an integer number (3312095800).

Almost surely, 2227717371728 is an apocalyptic number.

227717371728 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 227717371728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397451496000).

227717371728 is an abundant number, since it is smaller than the sum of its proper divisors (567185620272).

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

227717371728 is a wasteful number, since it uses less digits than its factorization.

227717371728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250 (or 9241 counting only the distinct ones).

The product of its digits is 3226944, while the sum is 54.

The spelling of 227717371728 in words is "two hundred twenty-seven billion, seven hundred seventeen million, three hundred seventy-one thousand, seven hundred twenty-eight".