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228082644 = 2232101149421
BaseRepresentation
bin11011001100001…
…00001111010100
3120220011210120100
431212010033110
5431342121034
634344334100
75436445656
oct1546041724
9526153510
10228082644
11107823959
1264474330
133833a65a
14224126d6
1515055099
hexd9843d4

228082644 has 72 divisors (see below), whose sum is σ = 587550600. Its totient is φ = 74592000.

The previous prime is 228082643. The next prime is 228082649. The reversal of 228082644 is 446280822.

It is a happy number.

228082644 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 8 + 2 + 644 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2722500 + 225360144 = 1650^2 + 15012^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 228082599 and 228082608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228082643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541554 + ... + 541974.

It is an arithmetic number, because the mean of its divisors is an integer number (8160425).

Almost surely, 2228082644 is an apocalyptic number.

It is an amenable number.

228082644 is an abundant number, since it is smaller than the sum of its proper divisors (359467956).

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

228082644 is a wasteful number, since it uses less digits than its factorization.

228082644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 228082644 is about 15102.4052389015. The cubic root of 228082644 is about 610.9852786233.

It can be divided in two parts, 22808 and 2644, that added together give a palindrome (25452).

The spelling of 228082644 in words is "two hundred twenty-eight million, eighty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 149 202 298 303 404 421 447 596 606 842 894 909 1212 1263 1341 1684 1788 1818 2526 2682 3636 3789 5052 5364 7578 15049 15156 30098 42521 45147 60196 62729 85042 90294 125458 127563 135441 170084 180588 188187 250916 255126 270882 376374 382689 510252 541764 564561 752748 765378 1129122 1530756 2258244 6335629 12671258 19006887 25342516 38013774 57020661 76027548 114041322 228082644