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224520420 = 223524115527
BaseRepresentation
bin11010110000111…
…10100011100100
3120122110211010010
431120132203210
5424434123140
634140130220
75364251325
oct1530364344
9518424103
10224520420
11105810573
1263236970
1337691127
1421b6644c
1514a9e880
hexd61e8e4

224520420 has 48 divisors (see below), whose sum is σ = 631306368. Its totient is φ = 59619840.

The previous prime is 224520419. The next prime is 224520421. The reversal of 224520420 is 24025422.

224520420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224520419) and next prime (224520421).

It is not an unprimeable number, because it can be changed into a prime (224520421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6697 + ... + 22223.

It is an arithmetic number, because the mean of its divisors is an integer number (13152216).

Almost surely, 2224520420 is an apocalyptic number.

224520420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224520420 is an abundant number, since it is smaller than the sum of its proper divisors (406785948).

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

224520420 is a wasteful number, since it uses less digits than its factorization.

224520420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15780 (or 15778 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 224520420 is about 14984.0054725030. The cubic root of 224520420 is about 607.7877584733.

Adding to 224520420 its reverse (24025422), we get a palindrome (248545842).

The spelling of 224520420 in words is "two hundred twenty-four million, five hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 241 482 723 964 1205 1446 2410 2892 3615 4820 7230 14460 15527 31054 46581 62108 77635 93162 155270 186324 232905 310540 465810 931620 3742007 7484014 11226021 14968028 18710035 22452042 37420070 44904084 56130105 74840140 112260210 224520420