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224135496 = 233213239461
BaseRepresentation
bin11010101110000…
…00100101001000
3120121202021002200
431113000211020
5424334313441
634124000200
75361056154
oct1527004510
9517667080
10224135496
11105578352
1263090060
1337587b70
1421aa6064
1514a257b6
hexd5c0948

224135496 has 48 divisors (see below), whose sum is σ = 653731260. Its totient is φ = 68964480.

The previous prime is 224135473. The next prime is 224135507. The reversal of 224135496 is 694531422.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 224100900 + 34596 = 14970^2 + 186^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 224135496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118795 + ... + 120666.

Almost surely, 2224135496 is an apocalyptic number.

224135496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

224135496 is an abundant number, since it is smaller than the sum of its proper divisors (429595764).

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

224135496 is a wasteful number, since it uses less digits than its factorization.

224135496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239486 (or 239479 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 224135496 is about 14971.1554664294. The cubic root of 224135496 is about 607.4402237582.

The spelling of 224135496 in words is "two hundred twenty-four million, one hundred thirty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 239461 478922 718383 957844 1436766 1915688 2155149 2873532 3112993 4310298 5747064 6225986 8620596 9338979 12451972 17241192 18677958 24903944 28016937 37355916 56033874 74711832 112067748 224135496