Search a number
-
+
228318816 = 25311216211
BaseRepresentation
bin11011001101111…
…01111001100000
3120220121210112110
431212331321200
5431422200231
634353355320
75441451345
oct1546757140
9526553473
10228318816
11107975340
1264568b40
13383c0cbb
14224747cc
15150a0046
hexd9bde60

228318816 has 48 divisors (see below), whose sum is σ = 653825088. Its totient is φ = 69187200.

The previous prime is 228318803. The next prime is 228318817. The reversal of 228318816 is 618813822.

It is a tau number, because it is divible by the number of its divisors (48).

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 (228318817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107050 + ... + 109161.

It is an arithmetic number, because the mean of its divisors is an integer number (13621356).

Almost surely, 2228318816 is an apocalyptic number.

It is an amenable number.

228318816 is an abundant number, since it is smaller than the sum of its proper divisors (425506272).

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

228318816 is a wasteful number, since it uses less digits than its factorization.

228318816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216235 (or 216227 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 228318816 is about 15110.2222352949. Note that the first 4 decimals coincide. The cubic root of 228318816 is about 611.1960908625.

The spelling of 228318816 in words is "two hundred twenty-eight million, three hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 216211 432422 648633 864844 1297266 1729688 2378321 2594532 3459376 4756642 5189064 6918752 7134963 9513284 10378128 14269926 19026568 20756256 28539852 38053136 57079704 76106272 114159408 228318816