Search a number
-
+
224213840 = 2452802673
BaseRepresentation
bin11010101110100…
…11101101010000
3120121220020120022
431113103231100
5424344320330
634125403012
75361533444
oct1527235520
9517806508
10224213840
111056211a4
1263109468
13375b4716
1421ac6824
1514a3dae5
hexd5d3b50

224213840 has 20 divisors (see below), whose sum is σ = 521297364. Its totient is φ = 89685504.

The previous prime is 224213831. The next prime is 224213849. The reversal of 224213840 is 48312422.

It is an interprime number because it is at equal distance from previous prime (224213831) and next prime (224213849).

It can be written as a sum of positive squares in 2 ways, for example, as 163123984 + 61089856 = 12772^2 + 7816^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224213849) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1401257 + ... + 1401416.

Almost surely, 2224213840 is an apocalyptic number.

224213840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224213840 is an abundant number, since it is smaller than the sum of its proper divisors (297083524).

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

224213840 is a wasteful number, since it uses less digits than its factorization.

224213840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802686 (or 2802680 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 224213840 is about 14973.7717359388. The cubic root of 224213840 is about 607.5109901087.

The spelling of 224213840 in words is "two hundred twenty-four million, two hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2802673 5605346 11210692 14013365 22421384 28026730 44842768 56053460 112106920 224213840