Search a number
-
+
228240871992 = 233273783239617
BaseRepresentation
bin1101010010010000110…
…1110101001000111000
3210211010111110121220100
43110210031311020320
512214414130400432
6252504041555400
722330010254530
oct3244415651070
9724114417810
10228240871992
1188884027331
12382994a5b60
13186a5104913
14b092a524c0
155e0c91a07c
hex3524375238

228240871992 has 384 divisors, whose sum is σ = 738562406400. Its totient is φ = 62321301504.

The previous prime is 228240871973. The next prime is 228240871997. The reversal of 228240871992 is 299178042822.

228240871992 is a `hidden beast` number, since 2 + 2 + 82 + 408 + 71 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228240871997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369920068 + ... + 369920684.

It is an arithmetic number, because the mean of its divisors is an integer number (1923339600).

Almost surely, 2228240871992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228240871992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369281203200).

228240871992 is an abundant number, since it is smaller than the sum of its proper divisors (510321534408).

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

228240871992 is a wasteful number, since it uses less digits than its factorization.

228240871992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 228240871992 in words is "two hundred twenty-eight billion, two hundred forty million, eight hundred seventy-one thousand, nine hundred ninety-two".