Search a number
-
+
228149079200 = 25527891134051
BaseRepresentation
bin1101010001111010111…
…1101010110010100000
3210210220002202001212022
43110132233222302200
512214222131013300
6252451002321012
722324514114210
oct3243657526240
9723802661768
10228149079200
1188837231019
12382727b9168
131868c0a5963
14b08479a240
155e04837285
hex351ebeaca0

228149079200 has 288 divisors, whose sum is σ = 649544676480. Its totient is φ = 76640256000.

The previous prime is 228149079181. The next prime is 228149079233. The reversal of 228149079200 is 2970941822.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56317175 + ... + 56321225.

It is an arithmetic number, because the mean of its divisors is an integer number (2255363460).

Almost surely, 2228149079200 is an apocalyptic number.

228149079200 is a gapful number since it is divisible by the number (20) 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 228149079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324772338240).

228149079200 is an abundant number, since it is smaller than the sum of its proper divisors (421395597280).

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

228149079200 is a wasteful number, since it uses less digits than its factorization.

228149079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 228149079200 in words is "two hundred twenty-eight billion, one hundred forty-nine million, seventy-nine thousand, two hundred".