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2259440 = 24561463
BaseRepresentation
bin1000100111100111110000
311020210100222
420213213300
51034300230
6120232212
725130201
oct10474760
94223328
102259440
111303607
1290b668
13611561
1442b5a8
152e96e5
hex2279f0

2259440 has 40 divisors (see below), whose sum is σ = 5350848. Its totient is φ = 887040.

The previous prime is 2259437. The next prime is 2259449. The reversal of 2259440 is 449522.

2259440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×22594402 = 10210138227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4649 + ... + 5111.

22259440 is an apocalyptic number.

2259440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675424).

2259440 is an abundant number, since it is smaller than the sum of its proper divisors (3091408).

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

2259440 is a wasteful number, since it uses less digits than its factorization.

2259440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2259440 is about 1503.1433730686. The cubic root of 2259440 is about 131.2200717854.

The spelling of 2259440 in words is "two million, two hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 463 488 610 926 976 1220 1852 2315 2440 3704 4630 4880 7408 9260 18520 28243 37040 56486 112972 141215 225944 282430 451888 564860 1129720 2259440