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2275668 = 2233191109
BaseRepresentation
bin1000101011100101010100
311021121122000
420223211110
51040310133
6120435300
725225413
oct10534524
94247560
102275668
11131481a
12918b30
13618a65
1443347a
152ee413
hex22b954

2275668 has 48 divisors (see below), whose sum is σ = 6216000. Its totient is φ = 717984.

The previous prime is 2275667. The next prime is 2275681. The reversal of 2275668 is 8665722.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 211 + 215 + 7 + 59 + 65 + 67 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498 + ... + 2606.

It is an arithmetic number, because the mean of its divisors is an integer number (129500).

22275668 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 2275668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108000).

2275668 is an abundant number, since it is smaller than the sum of its proper divisors (3940332).

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

2275668 is a wasteful number, since it uses less digits than its factorization.

2275668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1133 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2275668 is about 1508.5317364908. The cubic root of 2275668 is about 131.5334770941.

The spelling of 2275668 in words is "two million, two hundred seventy-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 1109 2052 2218 3327 4436 6654 9981 13308 19962 21071 29943 39924 42142 59886 63213 84284 119772 126426 189639 252852 379278 568917 758556 1137834 2275668