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228209832 = 23332574111
BaseRepresentation
bin11011001101000…
…11010010101000
3120220102021001000
431212203102220
5431410203312
634351155000
75440515534
oct1546432250
9526367030
10228209832
11107900474
1264515a60
1338383506
1422446bc4
151507cadc
hexd9a34a8

228209832 has 64 divisors (see below), whose sum is σ = 636537600. Its totient is φ = 75755520.

The previous prime is 228209827. The next prime is 228209837. The reversal of 228209832 is 238902822.

It is an interprime number because it is at equal distance from previous prime (228209827) and next prime (228209837).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (228209837) 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 15 ways as a sum of consecutive naturals, for example, 53457 + ... + 57567.

It is an arithmetic number, because the mean of its divisors is an integer number (9945900).

Almost surely, 2228209832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228209832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318268800).

228209832 is an abundant number, since it is smaller than the sum of its proper divisors (408327768).

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

228209832 is a wasteful number, since it uses less digits than its factorization.

228209832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 228209832 is about 15106.6155044735. The cubic root of 228209832 is about 611.0988274580.

The spelling of 228209832 in words is "two hundred twenty-eight million, two hundred nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 257 514 771 1028 1542 2056 2313 3084 4111 4626 6168 6939 8222 9252 12333 13878 16444 18504 24666 27756 32888 36999 49332 55512 73998 98664 110997 147996 221994 295992 443988 887976 1056527 2113054 3169581 4226108 6339162 8452216 9508743 12678324 19017486 25356648 28526229 38034972 57052458 76069944 114104916 228209832