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228824080 = 24517168253
BaseRepresentation
bin11011010001110…
…01010000010000
3120221120110121221
431220321100100
5432034332310
634412254424
75445654412
oct1550712020
9527513557
10228824080
1110818aa11
1264771414
1338539c84
14225669b2
151514eada
hexda39410

228824080 has 40 divisors (see below), whose sum is σ = 563314392. Its totient is φ = 86145024.

The previous prime is 228824039. The next prime is 228824083. The reversal of 228824080 is 80428822.

It can be written as a sum of positive squares in 4 ways, for example, as 26501904 + 202322176 = 5148^2 + 14224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (228824083) 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 7 ways as a sum of consecutive naturals, for example, 82767 + ... + 85486.

Almost surely, 2228824080 is an apocalyptic number.

228824080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228824080 is an abundant number, since it is smaller than the sum of its proper divisors (334490312).

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

228824080 is a wasteful number, since it uses less digits than its factorization.

228824080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168283 (or 168277 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 228824080 is about 15126.9322732668. The cubic root of 228824080 is about 611.6466127342.

It can be divided in two parts, 22882 and 4080, that added together give a palindrome (26962).

The spelling of 228824080 in words is "two hundred twenty-eight million, eight hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 168253 336506 673012 841265 1346024 1682530 2692048 2860301 3365060 5720602 6730120 11441204 13460240 14301505 22882408 28603010 45764816 57206020 114412040 228824080