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2282148 = 22331117113
BaseRepresentation
bin1000101101001010100100
311021221112000
420231022210
51041012043
6120525300
725253331
oct10551244
94257460
102282148
111319680
12920830
1361b9ab
14435988
153012d3
hex22d2a4

2282148 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 645120.

The previous prime is 2282141. The next prime is 2282149. The reversal of 2282148 is 8412822.

2282148 is an astonishing number since 2282148 = 228 + ... + 2148.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2282141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20140 + ... + 20252.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22282148 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 2282148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2282148 is an abundant number, since it is smaller than the sum of its proper divisors (4612572).

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

2282148 is a wasteful number, since it uses less digits than its factorization.

2282148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2282148 is about 1510.6779934850. The cubic root of 2282148 is about 131.6582066526.

The spelling of 2282148 in words is "two million, two hundred eighty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 113 132 153 187 198 204 226 297 306 339 374 396 452 459 561 594 612 678 748 918 1017 1122 1188 1243 1356 1683 1836 1921 2034 2244 2486 3051 3366 3729 3842 4068 4972 5049 5763 6102 6732 7458 7684 10098 11187 11526 12204 14916 17289 20196 21131 22374 23052 33561 34578 42262 44748 51867 63393 67122 69156 84524 103734 126786 134244 190179 207468 253572 380358 570537 760716 1141074 2282148