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2245840 = 24567419
BaseRepresentation
bin1000100100010011010000
311020002201021
420210103100
51033331330
6120045224
725042432
oct10442320
94202637
102245840
1112a4373
12903814
136082cc
14426652
152e567a
hex2244d0

2245840 has 40 divisors (see below), whose sum is σ = 5312160. Its totient is φ = 882816.

The previous prime is 2245813. The next prime is 2245849. The reversal of 2245840 is 485422.

It is a happy number.

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 (2245849) 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, 5151 + ... + 5569.

It is an arithmetic number, because the mean of its divisors is an integer number (132804).

22245840 is an apocalyptic number.

2245840 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 2245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656080).

2245840 is an abundant number, since it is smaller than the sum of its proper divisors (3066320).

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

2245840 is a wasteful number, since it uses less digits than its factorization.

2245840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2245840 is about 1498.6126917920. The cubic root of 2245840 is about 130.9562622279.

The spelling of 2245840 in words is "two million, two hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 419 536 670 838 1072 1340 1676 2095 2680 3352 4190 5360 6704 8380 16760 28073 33520 56146 112292 140365 224584 280730 449168 561460 1122920 2245840