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2228928 = 263131947
BaseRepresentation
bin1000100000001011000000
311012020111220
420200023000
51032311203
6115435040
724642222
oct10401300
94166456
102228928
111292699
128b5a80
136006c0
14420412
152e0653
hex2202c0

2228928 has 112 divisors (see below), whose sum is σ = 6827520. Its totient is φ = 635904.

The previous prime is 2228927. The next prime is 2228939. The reversal of 2228928 is 8298222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47401 + ... + 47447.

It is an arithmetic number, because the mean of its divisors is an integer number (60960).

22228928 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 2228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413760).

2228928 is an abundant number, since it is smaller than the sum of its proper divisors (4598592).

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

2228928 is a wasteful number, since it uses less digits than its factorization.

2228928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 2228928 is about 1492.9594770120. The cubic root of 2228928 is about 130.6267173908.

The spelling of 2228928 in words is "two million, two hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 47 48 52 57 64 76 78 94 96 104 114 141 152 156 188 192 208 228 247 282 304 312 376 416 456 494 564 608 611 624 741 752 832 893 912 988 1128 1216 1222 1248 1482 1504 1786 1824 1833 1976 2256 2444 2496 2679 2964 3008 3572 3648 3666 3952 4512 4888 5358 5928 7144 7332 7904 9024 9776 10716 11609 11856 14288 14664 15808 19552 21432 23218 23712 28576 29328 34827 39104 42864 46436 47424 57152 58656 69654 85728 92872 117312 139308 171456 185744 278616 371488 557232 742976 1114464 2228928