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224213472 = 25327111217
BaseRepresentation
bin11010101110100…
…11100111100000
3120121220020001200
431113103213200
5424344312342
634125401200
75361532410
oct1527234740
9517806050
10224213472
1110562099a
1263109200
13375b44c2
1421ac6640
1514a3d94c
hexd5d39e0

224213472 has 72 divisors (see below), whose sum is σ = 728700336. Its totient is φ = 64060416.

The previous prime is 224213449. The next prime is 224213477. The reversal of 224213472 is 274312422.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224213477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53593 + ... + 57624.

It is an arithmetic number, because the mean of its divisors is an integer number (10120838).

Almost surely, 2224213472 is an apocalyptic number.

It is an amenable number.

224213472 is an abundant number, since it is smaller than the sum of its proper divisors (504486864).

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

224213472 is a wasteful number, since it uses less digits than its factorization.

224213472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111240 (or 111229 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 224213472 is about 14973.7594477806. The cubic root of 224213472 is about 607.5106577412.

Adding to 224213472 its reverse (274312422), we get a palindrome (498525894).

The spelling of 224213472 in words is "two hundred twenty-four million, two hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 111217 222434 333651 444868 667302 778519 889736 1000953 1334604 1557038 1779472 2001906 2335557 2669208 3114076 3558944 4003812 4671114 5338416 6228152 7006671 8007624 9342228 10676832 12456304 14013342 16015248 18684456 24912608 28026684 32030496 37368912 56053368 74737824 112106736 224213472