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2265858 = 23273367
BaseRepresentation
bin1000101001001100000010
311021010011200
420221030002
51040001413
6120322030
725155000
oct10511402
94233150
102265858
111308411
12913316
1361445a
1442da70
152eb573
hex229302

2265858 has 48 divisors (see below), whose sum is σ = 5740800. Its totient is φ = 645624.

The previous prime is 2265841. The next prime is 2265869. The reversal of 2265858 is 8585622.

It is a super-2 number, since 2×22658582 = 10268224952328, which contains 22 as substring.

It is a d-powerful number, because it can be written as 23 + 215 + 67 + 5 + 8 + 59 + 8 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5991 + ... + 6357.

It is an arithmetic number, because the mean of its divisors is an integer number (119600).

22265858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870400).

2265858 is an abundant number, since it is smaller than the sum of its proper divisors (3474942).

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

2265858 is a wasteful number, since it uses less digits than its factorization.

2265858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2265858 is about 1505.2767187464. The cubic root of 2265858 is about 131.3441990432.

It can be divided in two parts, 226 and 5858, that added together give a square (6084 = 782).

The spelling of 2265858 in words is "two million, two hundred sixty-five thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 367 441 686 734 882 1029 1101 2058 2202 2569 3087 3303 5138 6174 6606 7707 15414 17983 23121 35966 46242 53949 107898 125881 161847 251762 323694 377643 755286 1132929 2265858