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224150420 = 22513862117
BaseRepresentation
bin11010101110001…
…00001110010100
3120121210000120102
431113010032110
5424340303140
634124153232
75361150524
oct1527041624
9517700512
10224150420
1110558858a
1263098818
13375918b0
1421aab684
1514a29e15
hexd5c4394

224150420 has 24 divisors (see below), whose sum is σ = 506925384. Its totient is φ = 82763136.

The previous prime is 224150419. The next prime is 224150441. The reversal of 224150420 is 24051422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 221473924 = 1636^2 + 14882^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 224150392 and 224150401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430799 + ... + 431318.

It is an arithmetic number, because the mean of its divisors is an integer number (21121891).

Almost surely, 2224150420 is an apocalyptic number.

224150420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224150420 is an abundant number, since it is smaller than the sum of its proper divisors (282774964).

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

224150420 is a wasteful number, since it uses less digits than its factorization.

224150420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862139 (or 862137 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 224150420 is about 14971.6538832555. The cubic root of 224150420 is about 607.4537055387.

The spelling of 224150420 in words is "two hundred twenty-four million, one hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 862117 1724234 3448468 4310585 8621170 11207521 17242340 22415042 44830084 56037605 112075210 224150420