Search a number
-
+
228367360 = 2105134773
BaseRepresentation
bin11011001110010…
…01110000000000
3120220201021010101
431213021300000
5431430223420
634354412144
75442043024
oct1547116000
9526637111
10228367360
111079a8861
1264591054
133840a120
1422488384
15150ae60a
hexd9c9c00

228367360 has 176 divisors, whose sum is σ = 610759296. Its totient is φ = 81395712.

The previous prime is 228367357. The next prime is 228367369. The reversal of 228367360 is 63763822.

It is a super-2 number, since 2×2283673602 = 104303302226739200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228367369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3128284 + ... + 3128356.

Almost surely, 2228367360 is an apocalyptic number.

228367360 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 228367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305379648).

228367360 is an abundant number, since it is smaller than the sum of its proper divisors (382391936).

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

228367360 is a wasteful number, since it uses less digits than its factorization.

228367360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 228367360 is about 15111.8284797042. The cubic root of 228367360 is about 611.2394042740.

The spelling of 228367360 in words is "two hundred twenty-eight million, three hundred sixty-seven thousand, three hundred sixty".