Search a number
-
+
228006576 = 2434741613
BaseRepresentation
bin11011001011100…
…01101010110000
3120220000221020000
431211301222300
5431332202301
634342550000
75436011130
oct1545615260
9526027200
10228006576
11107781796
1264438300
1338311b45
14223d2ac0
151503c786
hexd971ab0

228006576 has 200 divisors, whose sum is σ = 773846304. Its totient is φ = 63452160.

The previous prime is 228006553. The next prime is 228006607. The reversal of 228006576 is 675600822.

228006576 is a `hidden beast` number, since 2 + 2 + 80 + 0 + 6 + 576 = 666.

228006576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 228006576.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371646 + ... + 372258.

Almost surely, 2228006576 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 228006576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386923152).

228006576 is an abundant number, since it is smaller than the sum of its proper divisors (545839728).

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

228006576 is a wasteful number, since it uses less digits than its factorization.

228006576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 228006576 is about 15099.8866220909. The cubic root of 228006576 is about 610.9173476968.

The spelling of 228006576 in words is "two hundred twenty-eight million, six thousand, five hundred seventy-six".