Search a number
-
+
228773376 = 2933131967
BaseRepresentation
bin11011010001011…
…00111000000000
3120221110220002000
431220230320000
5432031222001
634411224000
75445353526
oct1550547000
9527426060
10228773376
11108155907
1264748000
133851cb80
1422552316
151513ea86
hexda2ce00

228773376 has 320 divisors, whose sum is σ = 779116800. Its totient is φ = 65691648.

The previous prime is 228773333. The next prime is 228773401. The reversal of 228773376 is 673377822.

Its product of digits (592704) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3414495 + ... + 3414561.

It is an arithmetic number, because the mean of its divisors is an integer number (2434740).

Almost surely, 2228773376 is an apocalyptic number.

228773376 is a gapful number since it is divisible by the number (26) 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 228773376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389558400).

228773376 is an abundant number, since it is smaller than the sum of its proper divisors (550343424).

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

228773376 is a wasteful number, since it uses less digits than its factorization.

228773376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 228773376 is about 15125.2562292346. The cubic root of 228773376 is about 611.6014321442.

The spelling of 228773376 in words is "two hundred twenty-eight million, seven hundred seventy-three thousand, three hundred seventy-six".