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228201732 = 223311476167
BaseRepresentation
bin11011001101000…
…01010100000100
3120220101211221000
431212201110010
5431404423412
634351053300
75440453113
oct1546412404
9526354830
10228201732
111078a5380
1264511230
133837c915
1422443c7a
151507a4dc
hexd9a1504

228201732 has 192 divisors, whose sum is σ = 679956480. Its totient is φ = 65577600.

The previous prime is 228201697. The next prime is 228201733. The reversal of 228201732 is 237102822.

It is a happy number.

228201732 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 228201696 and 228201705.

It is not an unprimeable number, because it can be changed into a prime (228201733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3405963 + ... + 3406029.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2228201732 is an apocalyptic number.

228201732 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 228201732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339978240).

228201732 is an abundant number, since it is smaller than the sum of its proper divisors (451754748).

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

228201732 is a wasteful number, since it uses less digits than its factorization.

228201732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 228201732 is about 15106.3474076297. The cubic root of 228201732 is about 611.0915973298.

The spelling of 228201732 in words is "two hundred twenty-eight million, two hundred one thousand, seven hundred thirty-two".