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224889632 = 251122412
BaseRepresentation
bin11010110011110…
…00101100100000
3120200011120120122
431121320230200
5430032432012
634152055412
75400346622
oct1531705440
9520146518
10224889632
11105a42a00
1263394568
13377901b6
1421c20c12
1514b23e72
hexd678b20

224889632 has 54 divisors (see below), whose sum is σ = 488688417. Its totient is φ = 101798400.

The previous prime is 224889631. The next prime is 224889661. The reversal of 224889632 is 236988422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224889632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 209554576 + 15335056 = 14476^2 + 3916^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10604.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224889631) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 933032 + ... + 933272.

Almost surely, 2224889632 is an apocalyptic number.

224889632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224889632

224889632 is an abundant number, since it is smaller than the sum of its proper divisors (263798785).

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

224889632 is an equidigital number, since it uses as much as digits as its factorization.

224889632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 254 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 224889632 is about 14996.3206154043. The cubic root of 224889632 is about 608.1207343337.

The spelling of 224889632 in words is "two hundred twenty-four million, eight hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 241 242 352 482 484 964 968 1928 1936 2651 3856 3872 5302 7712 10604 21208 29161 42416 58081 58322 84832 116162 116644 232324 233288 464648 466576 638891 929296 933152 1277782 1858592 2555564 5111128 7027801 10222256 14055602 20444512 28111204 56222408 112444816 224889632