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224330240 = 29587629
BaseRepresentation
bin11010101111100…
…00001000000000
3120122010011020102
431113300020000
5424412031430
634132101532
75362530011
oct1527601000
9518104212
10224330240
111056a06a2
12631648a8
13376256b4
1421b17008
1514a63345
hexd5f0200

224330240 has 40 divisors (see below), whose sum is σ = 537872940. Its totient is φ = 89731072.

The previous prime is 224330237. The next prime is 224330243. The reversal of 224330240 is 42033422.

It is an interprime number because it is at equal distance from previous prime (224330237) and next prime (224330243).

It can be written as a sum of positive squares in 2 ways, for example, as 194212096 + 30118144 = 13936^2 + 5488^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (224330243) 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, 41255 + ... + 46374.

Almost surely, 2224330240 is an apocalyptic number.

224330240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224330240 is an abundant number, since it is smaller than the sum of its proper divisors (313542700).

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

224330240 is an frugal number, since it uses more digits than its factorization.

224330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87652 (or 87636 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 224330240 is about 14977.6580278761. The cubic root of 224330240 is about 607.6161011427.

Adding to 224330240 its reverse (42033422), we get a palindrome (266363662).

The spelling of 224330240 in words is "two hundred twenty-four million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 87629 175258 350516 438145 701032 876290 1402064 1752580 2804128 3505160 5608256 7010320 11216512 14020640 22433024 28041280 44866048 56082560 112165120 224330240