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2228148 = 223413232
BaseRepresentation
bin1000011111111110110100
311012012110000
420133332310
51032300043
6115431300
724640026
oct10377664
94165400
102228148
11129204a
128b5530
13600240
14420016
152e02d3
hex21ffb4

2228148 has 90 divisors (see below), whose sum is σ = 6557474. Its totient is φ = 655776.

The previous prime is 2228143. The next prime is 2228153. The reversal of 2228148 is 8418222.

It is an interprime number because it is at equal distance from previous prime (2228143) and next prime (2228153).

It can be written as a sum of positive squares in only one way, i.e., 1542564 + 685584 = 1242^2 + 828^2 .

It is a super-3 number, since 3×22281483 = 33185881521916733376, which contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228143) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 96865 + ... + 96887.

22228148 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 2228148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278737).

2228148 is an abundant number, since it is smaller than the sum of its proper divisors (4329326).

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

2228148 is a wasteful number, since it uses less digits than its factorization.

2228148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

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

The square root of 2228148 is about 1492.6982280421. The cubic root of 2228148 is about 130.6114782673.

It can be divided in two parts, 2 and 228148, that added together give a triangular number (228150 = T675).

The spelling of 2228148 in words is "two million, two hundred twenty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 81 92 108 117 138 156 162 207 234 276 299 324 351 414 468 529 598 621 702 828 897 1053 1058 1196 1242 1404 1587 1794 1863 2106 2116 2484 2691 3174 3588 3726 4212 4761 5382 6348 6877 7452 8073 9522 10764 13754 14283 16146 19044 20631 24219 27508 28566 32292 41262 42849 48438 57132 61893 82524 85698 96876 123786 171396 185679 247572 371358 557037 742716 1114074 2228148