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2263540 = 225113177
BaseRepresentation
bin1000101000100111110100
311020222222211
420220213310
51034413130
6120303204
725145146
oct10504764
94228884
102263540
1113066a4
12911b04
13613396
1442cc96
152eaa2a
hex2289f4

2263540 has 12 divisors (see below), whose sum is σ = 4753476. Its totient is φ = 905408.

The previous prime is 2263531. The next prime is 2263553. The reversal of 2263540 is 453622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 309136 + 1954404 = 556^2 + 1398^2 .

It is a super-2 number, since 2×22635402 = 10247226663200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56569 + ... + 56608.

It is an arithmetic number, because the mean of its divisors is an integer number (396123).

22263540 is an apocalyptic number.

2263540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263540 is an abundant number, since it is smaller than the sum of its proper divisors (2489936).

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

2263540 is a wasteful number, since it uses less digits than its factorization.

2263540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113186 (or 113184 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2263540 is about 1504.5065636281. The cubic root of 2263540 is about 131.2993948626.

The spelling of 2263540 in words is "two million, two hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 113177 226354 452708 565885 1131770 2263540