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224231664 = 2434671493
BaseRepresentation
bin11010101110110…
…00000011110000
3120121221011000110
431113120003300
5424400403124
634130021320
75361636426
oct1527300360
9517834013
10224231664
11105633628
1263117840
13375bc877
1421acd116
1514a44029
hexd5d80f0

224231664 has 20 divisors (see below), whose sum is σ = 579265256. Its totient is φ = 74743872.

The previous prime is 224231653. The next prime is 224231671. The reversal of 224231664 is 466132422.

It is a nude number because it is divisible by every one of its digits.

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 3 ways as a sum of consecutive naturals, for example, 2335699 + ... + 2335794.

Almost surely, 2224231664 is an apocalyptic number.

224231664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224231664 is an abundant number, since it is smaller than the sum of its proper divisors (355033592).

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

224231664 is a wasteful number, since it uses less digits than its factorization.

224231664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671504 (or 4671498 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 224231664 is about 14974.3668981363. The cubic root of 224231664 is about 607.5270878199.

The spelling of 224231664 in words is "two hundred twenty-four million, two hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4671493 9342986 14014479 18685972 28028958 37371944 56057916 74743888 112115832 224231664