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228104844 = 223112179241
BaseRepresentation
bin11011001100010…
…01101010001100
3120220012221000120
431212021222030
5431343323334
634345024540
75436600462
oct1546115214
9526187016
10228104844
11107839600
1264485150
13383477a6
142241a832
151505b949
hexd989a8c

228104844 has 72 divisors (see below), whose sum is σ = 619509744. Its totient is φ = 65049600.

The previous prime is 228104843. The next prime is 228104879. The reversal of 228104844 is 448401822.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (228104843) 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, 20064 + ... + 29304.

It is an arithmetic number, because the mean of its divisors is an integer number (8604302).

Almost surely, 2228104844 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 228104844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309754872).

228104844 is an abundant number, since it is smaller than the sum of its proper divisors (391404900).

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

228104844 is a wasteful number, since it uses less digits than its factorization.

228104844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9287 (or 9274 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 228104844 is about 15103.1402032822. The cubic root of 228104844 is about 611.0051010188.

The spelling of 228104844 in words is "two hundred twenty-eight million, one hundred four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1452 2057 2244 4114 6171 8228 9241 12342 18482 24684 27723 36964 55446 101651 110892 157097 203302 304953 314194 406604 471291 609906 628388 942582 1118161 1219812 1728067 1885164 2236322 3354483 3456134 4472644 5184201 6708966 6912268 10368402 13417932 19008737 20736804 38017474 57026211 76034948 114052422 228104844