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228868416 = 2634721753
BaseRepresentation
bin11011010010001…
…00000101000000
3120221122201110000
431221010011000
5432042242131
634413240000
75446230600
oct1551040500
9527581400
10228868416
11108210257
1264793000
13385541ca
1422578c00
151515cce6
hexda44140

228868416 has 420 divisors, whose sum is σ = 851393268. Its totient is φ = 60383232.

The previous prime is 228868411. The next prime is 228868439. The reversal of 228868416 is 614868822.

228868416 is a `hidden beast` number, since 228 + 8 + 6 + 8 + 416 = 666.

228868416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 171714816 + 57153600 = 13104^2 + 7560^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228868411) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4318246 + ... + 4318298.

Almost surely, 2228868416 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 228868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425696634).

228868416 is an abundant number, since it is smaller than the sum of its proper divisors (622524852).

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

228868416 is a wasteful number, since it uses less digits than its factorization.

228868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 228868416 is about 15128.3976679621. The cubic root of 228868416 is about 611.6861135492.

The spelling of 228868416 in words is "two hundred twenty-eight million, eight hundred sixty-eight thousand, four hundred sixteen".