Search a number
-
+
228658397184 = 2143271783157
BaseRepresentation
bin1101010011110100011…
…0100100000000000000
3210212012121010002210100
43110331012210000000
512221243022202214
6253013315002400
722343240210250
oct3247506440000
9725177102710
10228658397184
1188a78782178
1238395299400
1318740771049
14b0d2299960
155e343e1309
hex353d1a4000

228658397184 has 720 divisors, whose sum is σ = 814102144128. Its totient is φ = 60360228864.

The previous prime is 228658397179. The next prime is 228658397213. The reversal of 228658397184 is 481793856822.

228658397184 is a `hidden beast` number, since 2 + 2 + 8 + 65 + 8 + 397 + 184 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 1456422834 + ... + 1456422990.

Almost surely, 2228658397184 is an apocalyptic number.

228658397184 is a gapful number since it is divisible by the number (24) 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 228658397184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407051072064).

228658397184 is an abundant number, since it is smaller than the sum of its proper divisors (585443746944).

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

228658397184 is a wasteful number, since it uses less digits than its factorization.

228658397184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 228658397184 in words is "two hundred twenty-eight billion, six hundred fifty-eight million, three hundred ninety-seven thousand, one hundred eighty-four".