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228205032 = 23311278583
BaseRepresentation
bin11011001101000…
…10000111101000
3120220102000110020
431212202013220
5431410030112
634351120440
75440465536
oct1546420750
9526360406
10228205032
111078a7900
1264513120
1338381283
1422445156
151507b48c
hexd9a21e8

228205032 has 48 divisors (see below), whose sum is σ = 627100320. Its totient is φ = 69152160.

The previous prime is 228205027. The next prime is 228205039. The reversal of 228205032 is 230502822.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 228204993 and 228205011.

It is not an unprimeable number, because it can be changed into a prime (228205039) 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 11 ways as a sum of consecutive naturals, for example, 36388 + ... + 42195.

It is an arithmetic number, because the mean of its divisors is an integer number (13064590).

Almost surely, 2228205032 is an apocalyptic number.

228205032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

228205032 is an abundant number, since it is smaller than the sum of its proper divisors (398895288).

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

228205032 is a wasteful number, since it uses less digits than its factorization.

228205032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78614 (or 78599 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 228205032 is about 15106.4566328441. The cubic root of 228205032 is about 611.0945429582.

Adding to 228205032 its reverse (230502822), we get a palindrome (458707854).

The spelling of 228205032 in words is "two hundred twenty-eight million, two hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 78583 157166 235749 314332 471498 628664 864413 942996 1728826 1885992 2593239 3457652 5186478 6915304 9508543 10372956 19017086 20745912 28525629 38034172 57051258 76068344 114102516 228205032