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224130420 = 223251245169
BaseRepresentation
bin11010101101111…
…11010101110100
3120121202000010200
431112333111310
5424334133140
634123520500
75361035313
oct1526772564
9517660120
10224130420
11105574558
1263089130
1337585767
1421aa427a
1514a24030
hexd5bf574

224130420 has 36 divisors (see below), whose sum is σ = 679862820. Its totient is φ = 59768064.

The previous prime is 224130383. The next prime is 224130421. The reversal of 224130420 is 24031422.

224130420 is a `hidden beast` number, since 2 + 241 + 3 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165791376 + 58339044 = 12876^2 + 7638^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224130393 and 224130402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224130421) 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, 622405 + ... + 622764.

Almost surely, 2224130420 is an apocalyptic number.

224130420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224130420 is an abundant number, since it is smaller than the sum of its proper divisors (455732400).

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

224130420 is a wasteful number, since it uses less digits than its factorization.

224130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245184 (or 1245179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224130420 is about 14970.9859394764. The cubic root of 224130420 is about 607.4356381542.

Adding to 224130420 its reverse (24031422), we get a palindrome (248161842).

The spelling of 224130420 in words is "two hundred twenty-four million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1245169 2490338 3735507 4980676 6225845 7471014 11206521 12451690 14942028 18677535 22413042 24903380 37355070 44826084 56032605 74710140 112065210 224130420