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228364444 = 227112937691
BaseRepresentation
bin11011001110010…
…01000010011100
3120220201010010101
431213021002130
5431430130234
634354350444
75442031360
oct1547110234
9526633111
10228364444
111079a6650
126458b424
13384089b9
14224872a0
15150ad814
hexd9c909c

228364444 has 96 divisors (see below), whose sum is σ = 530127360. Its totient is φ = 83462400.

The previous prime is 228364427. The next prime is 228364453. The reversal of 228364444 is 444463822.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 330139 + ... + 330829.

It is an arithmetic number, because the mean of its divisors is an integer number (5522160).

Almost surely, 2228364444 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 228364444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265063680).

228364444 is an abundant number, since it is smaller than the sum of its proper divisors (301762916).

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

228364444 is a wasteful number, since it uses less digits than its factorization.

228364444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its digits is 147456, while the sum is 37.

The square root of 228364444 is about 15111.7319986823. The cubic root of 228364444 is about 611.2368026447.

The spelling of 228364444 in words is "two hundred twenty-eight million, three hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 29 37 44 58 74 77 116 148 154 203 259 308 319 406 407 518 638 691 812 814 1036 1073 1276 1382 1628 2146 2233 2764 2849 4292 4466 4837 5698 7511 7601 8932 9674 11396 11803 15022 15202 19348 20039 23606 25567 30044 30404 40078 47212 51134 53207 80156 82621 102268 106414 140273 165242 178969 212828 220429 280546 281237 330484 357938 440858 561092 562474 715876 741443 881716 1124948 1482886 1543003 1968659 2965772 3086006 3937318 5190101 6172012 7874636 8155873 10380202 16311746 20760404 32623492 57091111 114182222 228364444