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2522268 = 2232710009
BaseRepresentation
bin1001100111110010011100
311202010220100
421213302130
51121203033
6130021100
730303360
oct11476234
94663810
102522268
111473021
12a17790
136a4088
144992a0
1534c513
hex267c9c

2522268 has 36 divisors (see below), whose sum is σ = 7287280. Its totient is φ = 720576.

The previous prime is 2522263. The next prime is 2522281. The reversal of 2522268 is 8622252.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

2522268 is a modest number, since divided by 2268 gives 252 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2522263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4753 + ... + 5256.

22522268 is an apocalyptic number.

2522268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2522268 is an abundant number, since it is smaller than the sum of its proper divisors (4765012).

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

2522268 is a wasteful number, since it uses less digits than its factorization.

2522268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10026 (or 10021 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2522268 is about 1588.1649788356. The cubic root of 2522268 is about 136.1226546305.

It can be divided in two parts, 252 and 2268, that multiplied together give a square (571536 = 7562).

The spelling of 2522268 in words is "two million, five hundred twenty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 10009 20018 30027 40036 60054 70063 90081 120108 140126 180162 210189 280252 360324 420378 630567 840756 1261134 2522268