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2263440 = 24359431
BaseRepresentation
bin1000101000100110010000
311020222212010
420220212100
51034412230
6120302520
725144644
oct10504620
94228763
102263440
111306613
12911a40
1361331a
1442cc24
152ea9b0
hex228990

2263440 has 40 divisors (see below), whose sum is σ = 7017408. Its totient is φ = 603520.

The previous prime is 2263439. The next prime is 2263441. The reversal of 2263440 is 443622.

2263440 is nontrivially palindromic in base 14.

2263440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2263439) and next prime (2263441).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4476 + ... + 4955.

22263440 is an apocalyptic number.

2263440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263440 is an abundant number, since it is smaller than the sum of its proper divisors (4753968).

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

2263440 is a wasteful number, since it uses less digits than its factorization.

2263440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2263440 is about 1504.4733297736. The cubic root of 2263440 is about 131.2974612935.

The spelling of 2263440 in words is "two million, two hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9431 18862 28293 37724 47155 56586 75448 94310 113172 141465 150896 188620 226344 282930 377240 452688 565860 754480 1131720 2263440