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228417504 = 2537339907
BaseRepresentation
bin11011001110101…
…01111111100000
3120220210210220120
431213111333200
5431433330004
634355440240
75442342150
oct1547257740
9526723816
10228417504
11107a324a7
12645b6080
1338426bb3
142249c760
15150be3d9
hexd9d5fe0

228417504 has 48 divisors (see below), whose sum is σ = 685254528. Its totient is φ = 65261952.

The previous prime is 228417493. The next prime is 228417533. The reversal of 228417504 is 405714822.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2284175042 = 104349112267180032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169282 + ... + 170625.

It is an arithmetic number, because the mean of its divisors is an integer number (14276136).

Almost surely, 2228417504 is an apocalyptic number.

228417504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228417504 is an abundant number, since it is smaller than the sum of its proper divisors (456837024).

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

228417504 is a wasteful number, since it uses less digits than its factorization.

228417504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339927 (or 339919 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 228417504 is about 15113.4874863481. The cubic root of 228417504 is about 611.2841388421.

The spelling of 228417504 in words is "two hundred twenty-eight million, four hundred seventeen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 339907 679814 1019721 1359628 2039442 2379349 2719256 4078884 4758698 5438512 7138047 8157768 9517396 10877024 14276094 16315536 19034792 28552188 32631072 38069584 57104376 76139168 114208752 228417504